Is feminism sexist?

The theory isn't but its proponents sometimes are.

Part of my opinion is formed where I think that a lot of feminists are sexist, but the principal isn't. Wouldn't equalitist be a better word?

Idk, I'm one of those much derided people who think egalitarianism is a better idea than just looking out for a particular section of society. That's just me though. People are free to fight for whatever they hold most dear and I certainly don't blame anyone for only having the energy to fight against what affects them directly.

not inherently, every feminist I know wants gender equality not gender superiority. It'd be like calling black rights movements racist for ignoring white people or other racial groups.
However, I do see how people could think it verges on having an agenda for the superiority of women. Feminists need to keep themselves in check from time to time

Feminism isn't sexist. It is topic specific. Feminists are equalists but are topic specific to females. The same way you can be a scientist but specific to biology.

Hear me out, this is the dictionary definition of sexist: prejudice or discrimination based on sex.
So if feminism is for the rights of ONLY women, does that make it sexist as their is a prejudice against the rights of men?

But would it not be more fair to say equalitist.

Proper feminism is not. The seemingly modern radicalisation of it can be percieved, validly, as sexist.

Feminism seeks gender equality, not female equality. Men had the rights women did not. That's why it's called feminism because it is a fight to progress the rights of women in the name of gender equality. It doesn't, however, try and crush the rights of men.

The bold text I quoted it what I feel is the problem with a lot of modern feminism. I want the old feminism back, where we want equal rights for everyone.

Perhaps but that's just pedantic. The actual purpose of the group is what matters when asking this question.

The fact that feminism seems to have two factions is the issue. We have the radical feminist who shouldn't really be called a feminist. And we have the moderate feminist who wants equal rights.

Hear me out, this is the dictionary definition of sexist: prejudice or discrimination based on sex.
So if feminism is for the rights of ONLY women, does that make it sexist as their is a prejudice against the rights of men?

I think the issue is the majority of leading feminists are a bit extreme. Look at the likes of Anita Sarkeesian

Sure it would, but how can you distinguish between equalists if no one is topic specific? It's like the BlackLivesMatter campaign, it would be fairer to say AllLivesMatter but that wasn't the topic of the campaign

I don't think the majority of feminists are a bit extreme, but there's such a spectrum I understand that there are definitely extreme ones.
Most want gender equality in my experience.