I don't think that is true. Identity politics is most prevalent in the center-left/mainstream left, in what Robert Pfaller has termed "the neoliberal cultural left". If it were a fringe movement, nobody would care about it.
For the US, I think only Elizabeth Warren really campained on identity politics, so putting her at center-left/left in the picture seems quite accurate to me. For Europe, identity politics being center-left is precisely one of the major reasons why all the center-left mainstream parties of Europe (except for Portugal, I think) have lost the support of the working people over the past decade (+x). They are economically right (neoliberal capitalism) and only culturally left (pronous for everyone).
In any case, from you perspective China seems to be far-left, but where is identity politics in China?