Is Haftar still considered the relatively culturally liberal/secular choice in Libya or have I fallen behind the news?
No, and he never was.
I mean, he is modestly secular by Libya standards, but he is absolutely not liberal by any stretch of the imagination.
Most of the world isn't liberal. In much of the world outside the West, the leftists would be considered socially conservative by our standards.
So, eastern Libya is economically conservative while western Libya is socially conservative?
No, I'm saying most of the world is socially conservative, and only "the West" is fairly socially liberal.