How to add product to wishlist with a single button click without page redirect and refresh using ajax?
You need to create a custom module for it.I have followed below mentioned tutorial to crate ajax base add to wish list and it;s working fine in my magento 1.9.1 and magento 1.9.3
click here for complete code.
you can add, remove, update wishlist by ajax: http://www.mlx-store.com/magento2-extensions/customer-experience/guest-wishlist-for-magento-2.html
Please install below ajax to cart extension which
https://github.com/hwguyguy/magento-ajax-wishlist - I hope it will works for you.