I'd argue he's a 100% True Blue conservative.
Conservatism is an intrinsically liberal philosophy. It's right there in the name! It takes the whole liberal myth of "progress" and "change" as a given, but argues, mealy-mouthedly, for permission from the Left-Progressive Alphas to conserve a few of the trappings of tradition and morality along the way. But just for a time. These eventually get jettisoned too.
The "libs" the "left," whatever you want to call it, is merely the locomotive of the Progressive "train." The "conservatives" are the caboose. People can hem and haw about if they like, but the caboose eventually - inevitably - arrives at the same destination as the locomotive. It just takes a little longer to do so.