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Get collection query string
$collection = Mage::getModel('bannerslider/bannerslider')->getCollection()
        ->addFieldToFilter('status',1)
        ->addFieldToFilter('is_home',$this->_display)
    ->addOrder('position', 'ASC')
        ;

$collection->printLogQuery(true);

var_dump((string)$collection->getSelect());

SELECT `main_table`.* FROM `bannerslider` AS `main_table` WHERE (status = '1') AND (is_home = '0')

public function load($printQuery = false, $logQuery = false)
{
    // ... removed for brevity

    $this->_renderFilters()
         ->_renderOrders()
         ->_renderLimit();

    $this->printLogQuery($printQuery, $logQuery);
    $data = $this->getData();

    // ... removed for brevity
}

$collection = Mage::getModel('bannerslider/bannerslider')->getCollection()
    ->addFieldToFilter('status',1)
    ->addFieldToFilter('is_home',$this->_display)
    ->addAtributeToSort('position', 'ASC');

$collection->setOrder('position', 'ASC'); // main order setter
$collectioon->getSelect()->order('position asc'); // alternative order setter

$collection->load(); // some times you need to call load() to be sure your collection don't get changes later in some place
echo $collection->getSelect(); // to print query