I dont see how it's not possible. I am a libertarian. I guess you can say I am "liberal" in the true sense of the word, classical liberal on social issues. At the end of the day I beleive in the principle of non aggression. I dont own you, your property or your body so who am I to tell you what to do? If you want be gay, fuck dogs, smoke crack, or just live a peaceful life without anyone sticking a gun in your face, that is up to you. So as long as you dont interfere with my life, property, or ability to progress.
So gay marraige for instance. Why is that a government issue, at all? Marraige, from a legal stand point is simply a contract between 2 people (or more if you believe in that sort of thing). Government got involved in the early 1900's with tax credits and shit like that. Prior to that it was between yall and your church.
Drugs? That's your body. Religion, thats on you. Basically, "social issues" should not have a place in public policy.
Fiscally, I guess I am far more than conservative. I really believe in no taxes, or vouluntary taxes. I do not believe that government central planning is the best way to deliever public services.