I don't find the politicalization of this topic to be at all useful. I don't know what "the left" is (or what "the right" is for that matter). Considering having "double standards" is universally human regardless of political labels, why not frame the entire discussion differently? Why not instead point out that "while it is important to be critical of anti-Islamic sentiment given Islam is a diverse religious demographic, it is also important to not overlook human rights violations done by some members of Islamic traditions." Why politicize it at all? I don't see the point.
Because Islam is not just a religion. It is a totalitarian ideology that happens to have a religious facet. You cannot honestly discuss Islam without factoring in its political nature.