I think they're all Jewish Christian in the sense that I see Christianity as being Jewish (specifically a faction of the Fourth Philosophy), with the distinction being primarily about the necessity of observing the Torah (or "works of the law" in the parlance of Paul and the DSS). If you think the Torah is still valid, then you are "Jewish Christian"; if you think it is no longer valid, then you are "Pauline." But according to Paul they all agreed that "Christ died for our sins according to the Scriptures, that he was buried, that he was raised on the third day according to the Scriptures," so in that respect they're all "Jewish Christians."Those categories (Petrine, Pauline, Jewish Christian) are obviously far more solidly delineated in your mind than in mine.
I see this distinction as being kind of similar to Reform, Conservative and Orthodox Judaism regarding Torah observance, with Pauline Christians being Reform and James being Orthodox and Peter being somewhere in the middle but leaning more towards James. And in my reading of Mark, Jesus appears to be pro-Torah and in the Orthodox camp. I think the correspondences between Mark and Paul are simply about things that Paul and Jewish Christians had in common, the "Whether, then, it is I or they, this is what we preach, and this is what you believed" kind of stuff. So in that sense, sure, Mark is "Pauline," but seems more aptly "Jewish Christian," since Jesus appears to be pro-Torah in Mark, like Jewish Christians. But again, in the big picture, they're all "Jewish Christians," since they're all Christian Jews.