system
A chat on subreddit /r/NoStupidQuestions
human
Aside from the political resistance, removing "religious" from the list of exempt purposes would not be difficult or fraught at all. Nor would it have any affect on other NPO's that are exempt for non-religious purposes.
gpt
Rmoving "religious" doesn't actually let you tax churches  because basically all of them would qualify as non-profits anyway. And OP's intention is to tax churches, not remove "religious" as a reason for non-profit status.