I've always been socially liberal and economically conservative. Even during and right after my New College days (and that college is as left of center as you can get in a red state like this one), my ex and I used to collect signatures to help Libertarian candidates get on the ballot. I just think the gov should butt out and let consenting adults do as they wish with their own lives and property, basically.
There are a few specific issues where I've moved more "rightward," I suppose. Abortion would be one of them. Taking an embryology class and learning about fetal development in med school made me very uncomfortable with the idea of the state sanctioning killing them. Of course, as part of my "pro-life" position, I also would argue that if we truly want to reduce the number of abortions, we can only do it by reducing the number of unwanted pregnancies (i.e., we should make birth control readily available to any person who wants it). The abstinence-only sex ed we promote here in the South is completely unrealistic and does nothing to prevent abortions. And our enthusiasm for capital punishment is also inconsistent with a "pro-life" position. Regardless of when during fetal development you think human life begins, it's pretty tough to argue that a convicted felon isn't a human life. Though I've heard people try.