I think it's also stated that Jesus decended from David through Mary?
That's not clearly the line of descent in the Gospels, though. Both geneaologies of Jesus deal with it in a pretty clunky way.
Matthew does the descent from Abraham, through David and then ends off with Joseph who was the husband of Mary "of whom was born Jesus".
Luke again awkwardly goes Jesus "as was supposed at the time, son of Joseph," and goes on with the geneaology, which is distinctly different than Matthew's. The usual explanation for this difference is that supposedly it traces Mary's line but this is an ex post facto explanation. The Greek original is apparently pretty vague.
In either case, though, my point still stands- the Gospels (at least the Synoptic gospels) consciously relate Jesus distinctly to earier Jewish prophecy. Arguably the Gospels make little sense without directly relating them to the Hebrew scriptures. This is in contrast to Paul's epistles which is where the real work is done of making Christianity a universalist religion as opposed to a reformed judaic sect. The Marcionites whom Kalan mentions accepted Luke but also Paul's epistles- you could see the movement as an extreme form of Pauline Christianity.