I would think this describes my attitude toward social issues, but I am not sure if questioning such a fundamental position bars me from being a true Scotsman.
Depends on how you define social conservative. I'm pro-choice and I consider myself socially conservative. I think there should be at least two categories of social conservative a mean one and a nice one. The nice ones leave other people alone as long as those people leave them alone. The mean ones want to run everyone's lives.
I don't like abortion but I realize clamping down on it does more harm than good. I would much rather have good sex ed and free contraception. There is nothing "conservative" about lying to teenagers and restricting their access to contraception.
Honestly we would have a much calmer well ordered society if better sex ed and free contraception was available. I simply don't see how having a bunch of broke uneducated people spitting out babies in tumultuous relationships makes society more "conservative".