A lot of my colleagues who happily brand themselves as liberal, all think unregulated illegal immigration will cause problem, I don't think there is any chance they will self identify as conservative.
As an individual I might agree with some of the points, but disagree with the rest, like I all for more restrictive gun control and think it is due to an outdated law. It is indeed a problem itself to force people into two buckets and create a us-vs-the-world mentality.