At this point, a liberal would make a comment line “Oh. So you think every liberal is a commie.” No, I do not.
However, their are more than a few points of intersection. I've taken a few samples from CPUSA.org. When Kerry ran against Bush, they gave 10 reasons to vote against Bush. When Obama ran against McCain, they were ecstatic that their man might become President. (He did).
I knew a Chicago Democrat from an earlier generation. I witnessed him smile with his lips and and eyes as he mentioned “Uncle Joe” (Stalin). It was a transcendent moment for him, as though he were extremely devout and was contemplating Jesus Christ. No commie, just a Democrat.
I could go on, and on, and on with examples.