Ah good we're actually on the same page. I don't consider a sexist woman a feminist. However, my comment was not about how it should be but how it is. There have been plenty of women in the feminist movement over the years that have had incredibly sexist ideas about men, and they are technically feminists. As such the guy that mentioned radical feminists was not actually incorrect. However, by my definition feminism is about achieving equality and independence from all oppressors (women included), so I can't agree with you more that a sexist feminist make no sense. To me it's a paradox.
Also, the words feminism to me means that it's someone fighting for equality between the two genders. Saying that someone is both sexist and a feminism doesn't make sense. Just call sexism where sexism is. Labeling false tags on sexist women such as 'feminism' gives rise to words like feminazi, and also makes people believe that feminists are all men-hating, hairy legged, lesbians. I think you should try not to combine the two so that these myths can die off.
Also I liked your definition of the feminist waves. After I posted I considered editing my post to mention it only truly applied in America, but I didn't want to get back out of bed. My definition was also only focused on the negatives of the second wave, but it was incredibly important in changing society's view of women. Without it the third wave could not have come about. My major concern with the second wave was it occasionally would blanket condemn an entire policy or activity, such as in the case of the anti-pornography movement, which I feel it should be left up to the woman to decide if she wants to participate. Someone can't tell a woman what's acceptable for her just because they're a woman and not a man, that's just replacing one overlord for another. I just feel like people need to be careful about that.