Try it!
But I don't think it will work. Because:
1.) Your city won't produce any money for you, slowing your research
2.) Sid AI have a lot of culture, so it's even possible that it won't flip. The city is probably massively garrisoned too.
3.) They may even use it as foothold in an invasion, while they can't do any harm by sea.
4.) Yeah, the most important, culture buildings are destroyed when a city flips. So you'll only get Markets, Granaries and Barracks.
You're playing Sid and still have civs that behind? Wow. Maybe you should try a rapid builder-style war against one of them. Or just keep selling them techs.