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Because having a white history month, or whatever other example, assumes that the playing field is equal to start with, which it isn't. Every month was white history month, because for pretty much all of history, it was written and taught by white men, with a pretty eurocentric point of view. It had to be a conscious effort to try and set some time aside to think about black history instead. The same reason that there is an international women's day but not an international men's day. The whole world was and still is focused on men, so surely they can spare one day that isn't focused on them. It doesn't mean they are missing out on a day for themselves.
I don't know much about Miss America competitions, but I would imagine if they are like similar things I can think of, and with standards of beauty being as they are in a lot of the west, it would be a pretty homogeneous selection of people, and predominantly white, so it makes sense to me that black people would want some place they could feel like they had more of a chance at being represented.
That's how I see it anyway I hope that is helpful.