Except people with mental illnesses such as anxiety disorder or depression do that all the time.
Now, if you want to have a psych test for public office, I'm down with that. I don't think your Orange Messiah will do that well. Maybe we can have a Shrink board consisting of Dr. Bandy X. Lee and his niece, Dr. Mary Trump.
Personally, I'm not in favor of classifying Gender Dysphoria as a mental illness, because Gender Dysphoric people are perfectly capable of doing their jobs. It's the rest of society that freaks out.