Feminists, shouldn't you rename your movement?

It seems to me like almost every time I talk to a feminist, they hold views that belong to one of the following two categories:

CATEGORY 1: They believe in female superiority, or female supremacy.

This includes those who think that since men have had it better for so long, now women should have it better.

It also includes those who think that women are just inherently superior.

These are the true feminists (in my opinion). These are also people I want nothing to do with. Further, I believe that these people are a tiny minority.

CATEGORY 2, They believe in striving towards a society where there is gender equality. i.e. women have the same, (or "fair" where sameness doesn't apply, like in areas regarding childbirth) rights to those of men.

To those who fall in Category 1, I have nothing to say. They are irrational, and immoral.

To those who stand in Category 2, I agree.

However, regardless of the way they think this should be achieved, and regardless of whether I agree with that particular way, isn't the name "feminism" wrong?

It seems to me that calling an equal gender rights movement feminism is akin go calling an anti-racism movement the "white-power movement".

Wouldn't a better, more accurate and less one-sided name be "Gender Equalist", or something along those lines?

I feel that "feminism" is a horrible name that does not help their cause.