I'm going to refuse to support prostitution
Why do you think that's necessary?
t's morally reprehensible that anyone should sell their bodies for money!
You're welcome to your opinion!  Nothing says you need to support prostitution.  Just be prepared for not everyone sharing your point of view on it!
I don't give a fuck, everyone should support my opinion.
You can't even get everyone to agree kittens are adorably cute; maybe 98.5%, but not everyone. You're setting yourself up for a lot of frustration because when it comes to social issues, there's even less consensus. It's better to focus on forming respectful arguments and researching both sides of the issues.