I would argue that moral absolutes are neither liberal nor conservative. There is no placement whatsoever on the political continuum for this trait.
Of course, I've always believed that moral absolutes simply means that some actions (or omission) are clearly right or wrong regardless of where you are politically.
It's also notable that this definition fits in with conservative principles--or as I sometimes like to say, conservative orthodoxy.
We believe in self-determination, but we also believe that there are some things that are just absolutely wrong. Notwithstanding those things which are clearly and inherently wrong, we as conservatives believe it's pretty much up to you to live your life as you see fit.
I don't have a problem with moral absolutes. My problem is with the people who feel compelled to pronounce them. They tend to come off as goody two shoe nags.