A black hat is… well, it can be a lot of things, but one thing it definitely isn’t is Tefillin”
I believe with all my heart, Moshe Rabbeinu did not wear a Borsalino. Neither did Aharon haKohein. And in fact, if one wanted to emulate HIS mode of dress, it would not fly. They wore levush Yehudi. And the zechus of Bnei Yisroel was that they did not change their levush Yehudi, which I venture a guess resembles nothing that we wear today.