What is the ruling on one who supplicates for the facilitation of forbidden acts, and is he considered an infidel if he intends mockery by that?

You must ignore intrusive thoughts and consult psychiatrists, because an abundance of questions will not cure them; rather, it will increase them. As for merely supplicating for a sin to be facilitated, it is forbidden, but it is not disbelief. And supplicating for something forbidden is forbidden, so supplicating for the greatest of forbidden things to be achieved is the most reprehensible of supplications.