Can you change your character type (Fearless, Mogul, Maniac) or are you stuck with what you originally picked?

For now, you are stuck with your character type. From what I understand, you used to be able to spend Godfather points to change it, but they took that out.

It's a topic of frequent woe and you'll often see efforts on the official forum lobbying to allow changing it again -- maybe someday they'll re-implement it! But for now, you are stuck. Sorry :(