For reasons of purely moral/ethical/philosophical compatibility I don't think I'd even consider attempting to have a relationship with a preacher, rabbi, imam, shaman, guru, witch-doctor, houngan, swami, or similar. I don't think I would attempt to build a relationship with a "homeopathic doctor" or similar type of snake-oil salesperson either. Philosophical differences are one thing, but when it gets to the level of "your entire life is built around something I consider total bullshit" or "you make a living trying to harm people and con them out of their money" I don't think it's something I could get past.
As for the main topic of the thread... I'm skeptical that visiting a prostitute once in a while would actually cure what's really wrong with these incel types.
Shortly after Elliot Rodger went on his rampage trying to kill sorority girls, I read an article from an author who had read and watched Rodger's online rantings and ravings. And for all the talk about how much Rodger hated women, it turns out that he actually wrote and talked about women very little. What Rodger hated wasn't women, it's that other men had success with women, and he didn't. From his writings it seemed as if Rodger didn't actually even attempt to talk to women or ask them for dates. He didn't write about being rejected by women... if it happened, he didn't mention it, and you'd think something like that would merit a mention. But he wrote a lot about the kind of men he saw women being attracted to. He wrote about their gym physiques and their clothing style and his assumption that they were dumb and superficial and less intelligent and less worthy of affection than himself. He was angry and bitter that guys he considered his inferior had success with women, while he didn't. It made him feel second-class.
Ultimately, what Rodger was looking for wasn't a relationship with a woman, it was a status symbol. He felt like having an attractive girlfriend would show the world that he wasn't second class. Like a fancy car. Instead of "when you arrive in a Mercedes, they'll know you've arrived," it's "when you arrive with a pretty girl on your arm, they'll know you've arrived."
These incel guys ultimately feel that they've been made second-class citizens. They feel that they've been deprived of something that other people have a right to. They self-identify as incels because, in their hearts, they believe that they're unlovable. Ultimately the problem here is low self-esteem. And visiting a prostitute for sex once in a while isn't going to cure that.
-k