Who would win?
That's easy; the arms manufacturers, the financial and corporate elite, and like. Basically, nothing would change. We might have mandatory religion in schools and jail time for "sexual degenerates" if the conservatives would win, and trans-friendly bathrooms and jail time for "bigots" if the liberals won... But in the end of the day, you'd still have the same problems that go on now.
If you think the problem is this world is liberalism or conservatism, you're missing the forest for the trees.