Legacy Infinite Wishes

Infinite Wishes
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4 Show and Tell
4 Dream Halls
4 Omniscience
4 Enter the Infinite
4 Cunning Wish
1 Intuition
1 Trickbind
7 Force of Will/Pact of Negation/Flusterstorm/Thoughtseize
4 Brainstorm
4 Ponder
4 Preordain
4 Ancient Tomb
2 Polluted Delta
2 Scalding Tarn
2 Misty Rainforest
2 Flooded Strand
6-7 Island
0-1 Underground Sea

SB: 1 Intuition (enables Wish to find SnT/Omni, is lethal with Omni)
SB: 1 Firemind's Foresight (Intuition->3x Enter, Trickbind, Brainstorm, costs 1 fewer card, makes Cunning Wish+Dream Halls+2cards lethal)
SB: 1 Trickbind (makes Wish counter ETB effects like DSphere/ORing/Pridemage)
SB: 1 Wipe Away (answers random stuff, gets sided in with Slaughter Pact left in the board)
SB: 1 Cryptic Command (answers random stuff when sided in while not costing 3, generic good card postboard)
SB: 1 Slaughter Pact (cheapest removal for hatebears like Teeg/Thalia/Canonist)
SB: 1 Research / Development (most efficient win condition Wish->Research->Enter->Lab Man+Brainstorm)
SB: 1 Laboratory Maniac (most efficient (hardest to hate, fewest slots) win conditon)

Count Depends on Maindeck Configuration:
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SB: Force of Will (4 in the 75)
SB: Pact of Negation (3-4 in the 75, most efficient counter)
SB: Flusterstorm (arguable over Pact due to passable vs control and excellent vs combo pseudo-mirror)
SB: Thoughtseize (takes all things you care about, Force+Seize is excellent disruption in the combo mirror, requires Underground Sea; my choice as extra non-Force/Pact disruption in the sb)

Random Utility
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SB: Surgical Extraction (good vs dredge (therapy), tinfins, reanimator, situationally awesome vs control)
SB: Ravenous Trap (specific dredge hate)
SB: Echoing Truth (can be sided in place of Trickbind to keep Wish->FF open, generic answer)

Powerful Sideboard Options
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SB: 4 Leyline of the Void (TinFins, All Spells, Dredge, Reanimator (might want a 2nd Sea to cast it))
SB: 4 Leyline of Sanctity (Storm, Jund, Esperblade, Burn)
SB: 1 Emrakul, the Aeons Torn (alt win to be sided in so Wish->Research->Lab Man stays in the board), good vs CB @ 3)

No Lotus Petal? Makes you less consistent. Need to hit 5 lands sometimes to cast Dream Halls. less than 19 lands is certainly wrong for this reason. 19 is minimum. 20 might be better.

No Personal Tutor? SnT isn't the only way for this deck to win. Dream Halls can also cheat Omni and Dream Halls alone is enough to win with Wish, Intuition, or Enter. This is an Enter deck, not an Omni deck.

No Emrakuls? This deck has no vulnerability to creature removal. SnT->Emrakul isn't convincing enough to open yourself up to hate. Same for Grisel, although Grisel could see play as anti-SnT hate card since it's generically good if you have nothing else and Grisel is the best card to SnT into play off opponent's SnT).

Few Intuitions? Card is a liability postboard if you don't already have Omni/Dream Halls in play.

4 Cunning Wish - card is Enter 5-8 when you want to win, anti-hate for only efficient SnT hate (oring effects), protection, utility, and an elegant win condition. Play 5 if you can swing it.

No Burning Wish - card is trash. Look at Cunning Wish. Now imagine the card makes you play fewer copies of SnT, Enter the Infinite, worse protection, and forces a worse manabase. No thanks.

Why play this over Reanimator? More resilient. Loses to fewer hate cards. Can play similar disruption. Wins when it goes off.

Why play this over Sneak and Show? More consistent. Loses to fewer hate cards. Better manabase. Wins when it goes off.

Why play this over other Omni decks? Have you seen the other omni decks? They're barely playable.

The matchups can swing based on how you configure the maindeck. You should be working on a mix of the following disruption in your 75:

4 Force of Will
3+ Thoughtseize
1+ Flusterstorm
1+ Pact of Negation

Play 4 Force of Will. If you're trying to hedge more against control decks, you probably want the 4th wishable. If you want more game vs fast combo, you might still want it in the sb, but replace Pact with Thoughtseize or Flusterstorm.
Pact is better vs actual control decks. Significantly worse vs other combo decks. Not terribly good vs anything but control.
Flusterstorm is passable vs discard, okay vs control, excellent vs other combo. Has limited value vs non-control fair decks, but not usually 100% dead.
Thoughtseize is solid vs everything. Some decks are very weak to it, like UW and other combo decks. It's passable but not amazing vs RUG, UWR, Esper. If you want to play 4, you probably want to fit in a 2nd Sea or a Swamp somewhere to make it suck less vs Wasteland Blue (play 4 Delta than). It's good vs hatebears. 2 Life can sometimes be a drag, but hitting VClique, Snapcaster, Teeg, Emrakul, and Grisel is worth it in various matchups. Most pressing is that 2nd black source would be required to play it maindeck and it introduces more pressure on a pristine manabase.

I've found Esper and Team America to be the harder matchups. Discard plus countermagic is rough. white leyline or more flusterstorm helps. Pact and Seize are at their worst against blue decks here.

UW is actually pretty easy since they have limited countermagic, CB largely doesn't matter ince you can resolve Enter then ignore it, and you can answer their permanents with just finding your trickbind or a wish.

RUG has been favorable in most configurations. You don't want all of your Thoughtseize, even though it's a fine card, since losing 4 life is sometimes enough for them to race. You can't lose games they don't flip a quick delver. Most of their soft counters are dead against you.

Reanimator is rough with Pacts main, but can get better if you have Flusterstorms or sb yard hate. Unfavorable preboard most of the time, but if they durdle you can destroy them. Thoughtseize is excellent here.

SnT mirror is generally pretty good. You kill them if they drop Emrakul and can sometimes kill them through Grisel by virtue of Trickbind/Wish limiting them to, at most, 7 cards (sometimes 0) and playing more hard counters. Daze/Spell Pierce are pretty bad against you. Dream Halls is functionally identical to Sneak Attack, except your deck isn't filled with awkward dudes. You'd rather go longer where you can cast Pacts and then pay for them and just hardcast Dream Halls with mana up for their soft counters. This avoids the awkward situation of an opponent dropping Grisel off your SnT and hitting the 50-60% chance of drawing enough hard counters.

Storm is much like reanimator. You can kill them from turn 2, and your matchup will be determined by how you configure the disruption in your 75. The ANT builds are hosed by white leyline preventing them from targeting you with discard. TES builds and Doomsday builds are more resilient due to Silence. Thoughtseize is excellent here.

Maverick is generally favorable. You can actually combo through Thalia and your manabase is good. They can put up a lot of quick pressure, and you need either Force or Wish->Pact to handle Teeg.

Jund has some discard, is cold to white leyline, and in general has a hard time beating your massively redundant, cantrip-backed combo with good mana. Shardless BUG is similar, but they might have Force of Will. Nic Fit is like Jund, but might combo kill you. They might also durdle while giving you free islands....