How to disable or redirect to same page after pushing add to wishlist button? Same way you can disable it for add to cart.
Actually the "addAction" in turn calls "_addItemToWishList" function, so you have to override that function in wishlist IndexController.php
Refer the below link, it shows how to override wishlist controller, also take care of the issue it has posted:
As it says replace the
$this->_redirect('*', array('wishlist_id' => $wishlist->getId())); with
Also don't let any spaces between "<" and tag name in any of the magento's xml files, it breaks xml structure.
For cart you have to override cart controller with minor function name change.
Hope this helps, let me know in comments.