For a simple answer to your question (you may have answered it asked it more rhetorically, and if so, sorry), the case to convert is just that we pray about it and get an answer.

There's a lot of reasons the church's teachings are good to believe in, but it's kinda useless if God isn't saying it's right if you know what I mean.

I grew up not believing in God at all. But when it came time, I asked God, if he existed, to give me an answer. And as best as I can interpret, he did.

So yeah, that's kinda why, if you wanted to know. The reasons are extra on top of the actual question if that makes any sense :p

Hope you're having a good day.