The quickshop is integrated very deeply in the theme, so it will be hard to remove it completly. You can hide it from you customers by doing this:
open snippets/collection-item.liquid in your template editor;
delete "	{% include 'quick-shop-popup' %}"
delete "<div class="image-overlay-1 trans-1">
				<table>
					<tr>
						<td>
							<a href="#" class="quick-shop-launcher button-1 custom-font-1 trans-1"><span>Quick shop</span></a>
						</td>
					</tr>
				</table>
			</div>"

Then open snippets/collection-item-large.liquid and do the same.