Definitely more loving and warm-hearted, has been my experience. I speak as one who leans toward the liberal, politically, but I hold very conservative religious beliefs. I am more comfortable in the conservative crowd when discussing Biblical doctrine, but more comfortable in the liberal crowd when socializing, or when discussing almost anything other than the Bible.
What this says to me is that conservatives would do well to work on their personalities and how they present the message. It has been my experience that people will not come to Christ or embrace sound doctrine if they feel that they are going to be rejected, judged, or in any way looked down upon. Not that all conservatives automatically would, but enough will to make it a legitimate fear.
Let me give an example: I was a teenage unwed mother. My backsliding led me back to the Lord and to church, where I was given a Bible because at the time I didn't have one. One woman who considered herself conservative saw me reading that Bible, and told me that the sight of it offended her. Because I was pregnant and unmarried, I was a sinner and had no right to read it! Was she correct? Of course not! My very conservative Sunday School class reacted in shock when I told them that story. If anyone NEEDS to be reading the Bible, it's a sinner!
But her attitude is what many unsaved may, unfortunately, mistake for something typical of a conservative.