Motorcycles reduce congestion and emit less carbon emissions than SUVs, sedans, trucks, etc. Sure, loud exhausts shouldn't be used, but banning them without addressing the problem of incompetent drivers only further encourages a bygone car culture that is already arguably too pervasive in our society.

As a side note, this line of thinking "[it infuriates others so] maybe you shouldn't do it" leans totalitarian which in turn leads to suboptimal outcomes (since no one person or even organization knows the optimal way of living or organizing society -- e.g. no mortals can play "god" so to speak). Also, many people are "infuriated" by trivial things, so it's not always a good way to live life imagining who these ambiguous others are and also to placate to their imagined sensibilities.