As for "very socially liberal in general", I suppose that would depend on what exactly you consider "social" issues. For example, I consider myself mostly supportive of gun rights
I like the term "socially libertarian." It emphasizes the lack of government regulation into people's private lives, while "socially liberal" is still enforcing a "values system" in the same way "social conservatism" does, only it's a secular values system (and thus much closer to the "socially libertarian" values, although still missing the mark).
My opinion of both neoconservatives and the "religious right" would hurt me a lot, considering that's probably about half the party.
I'd alienate most of the party fairly quickly, and unlike Trump I wouldn't have as much of a base to fall back on (I'm not the type to lead a populist revolution, more the type to sit back and analyze data for said revolution).