I don't think Itch will remove your game based on the ideas it presents unless they're highly upsetting/dangerous (nazism, etc. might be as issue). Whether or not they feature it on the homepage is a separate question. I have no idea what factors do or don't impact that decision (hopefully an employee can shed some light on this) but I'll point out that most games don't get featured so if any particular game doesn't get featured it's not like they're trying to suppress it or whatever.
At the end of the day, it's their platform and they can run it however they want. Steam has been very open about their hands-off stance recently, so maybe that's a better bet if you're publishing something really controversial.