Quick answer: No it is not. Concerning the Law itself, the Pharisees invented far and beyond the laws David abided by. As far as religion goes, modern Judaism is in no relation to Davidic Judaism. David accepted the Messiah to come and to shed His blood for us. Modern Jews have the attitude of the first century Jews, in which they were expecting a militant Messiah (unBiblical). The Jews of that day, as a whole nation, were in no means of accepting the Messiah, which is why they didn't.
We are much more alike to Davidic Judaism than Jews are, in that we accept the Messiah!!!!