His banter with almost everywhere seems similar to Cole, but without the mind reading. He digs deep into people's lives, and questioned what they're about. Like Solas telling Varric that he should be more concerned about the dwarves, letting Iron Bull know how bad the Qun is, noticing Cassandra's strength when it comes to her faith, and even trying to get Sera to recognize her real people, instead of "people people."
How do you feel about Solas?
I should. But I should blame it on my brother. 
(That's showbiz. I wonder if the Carta would pay my Adaar free Lyrium. But I've this really short planned out backstory.)
I feel a bit hesitant to speak much about Solas here because it's the Cass thread (and the Solas thread was recently visited by a moderator kindly telling us to stay on topic..).
But I feel he is most open-minded about Cass. He will recognize her motivations and even accept their differences, still respecting her as a person and potential leader.
Regarding others, most notably Bull and Dorian, he turns out rather stubborn and fully convinced that only his opinion is right. I consider that double moral standards from somebody who has started many of the problems in the first place. He claims to have given the orb, a powerful magical artifact able to tear the veil, to a suspicious looking blighted magister only because he was too weak to unlock it himself after his slumber. And he obviously did not have much of a plan B to back this up, considering how he had to hook up with the Inquisition to even get close to Corypheus.
I assume he considers all of this "the necessary evil" and bonds with Cassandra because she also had to do things she might not have been convinced of. Maybe he sees her as somebody in a similar situation, thus respecting her more than those who chose different paths. After all, both Bull and Dorian still believe in their countries and world orders, only wishing to improve single aspects but not changing the basics. Seems like Solas does not think highly of this. He only wants to restore all the elven history, the rest of the world should be all different.
Your brother?
(If a giant like that showed up at my doorstep and the first thing I saw were only kneecaps, you can be sure I'd supply him with anything. And as a friend of mine in the Solas thread put it: "My backstory is: she's Dalish; she might have liked the woods, maybe.")