I will point out that a dislike of "Identity Politics" can easily be defined as "divisions within some set that a person wishes to be uniform". For example, a Christian may be perfectly happy with Christianity's differences with other religions but very unhappy with divisions within Christianity itself. I don't think it is necessarily hypocritical to hold that view.
To put it in terms more familiar, intersectionality is intended to unify a diverse body against a larger uniform society. In a sense, the most conservative Americans and the most radical are one in the same. Radicals seek unity against enemies within and conservatives seeks unity against enemies without. The only thing separating some radical ideas from some conservative ideas is the scoping.
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As a sidebar, I'm really digging this train of thought. Its kind of interesting to think that the only difference between Martin Luther and Pope Urban II was their scope of the world's problems. Which makes sense. After all we're only human. We don't think that differently from one another.