It would be considered racist AF to have any kind of WHITE organization, now. White men controlled this country completely for at least the first hundred years. And, they really controlled the next 100, for the most part, with some more noticeable exceptions in the last 50 years (maybe a little more if you start after WWII). It's hard to measure the impact of such a... head start? I understand why these organizations had to be created. They HAD to be created as separate from white people because most of America chose to be separate for a long time. Jim Crow laws, "separate but equal", white-supremacist bullshit like that.
I think it will be ideal when we, as a society, move beyond distinctions based on race/ethnicity/gender/sexual orientation. I think most individuals can get there quicker than the whole lot of us. It's very incremental, but it's getting there. I think (I hope), at some point, something like the NAACP will no longer be needed. Status quo is slow to change.