Sephardim having been forced into Ashkenazic or western style of dressing, doesn’t commence with the hat.
It already commences with suit & main clothing [with hat just topping off this issue {please excuse the pun}], since “Al Pi Kabbolo” one is not supposed to wear black on Shabbos, black being connected with Saturn >> Saturday; One should try & wear 4 pieces of white clothing, the rest can be any color other than black.
Yet somehow, most Ashkenazim wear black [Navy & Charcoal suits would circumvent this issue] and the Sephardim of contemprorary time, have been dragged along with this Askenazic mode of dress.