Hi! Feel free to introduce yourself here.

There are a couple general reasons for disagreement.

1. Two parties disagree on terminal values (if someone genuinely believes that women are inherently less valuable than men there is no reason to keep talking about gender politics)
2. Two parties disagree on intermediate values (both might value happiness but a feminist might believe gender equality to be central to attaining happiness while the anti-feminist thinks gender equality is counter productive to this goal. It might be difficult for parties to explain their reasoning in these matters but it is possible). 3.Two parties disagree about the means to the end (an anti-feminist might think that feminism as a movement doesn't do a good job promoting gender equality)
3. Two parties disagree about the intent of one or more parties (a lot of anti-feminists think feminism is a tool for advancing interests of women exclusively and that feminists aren't really concerned with gender equality. I don't think you can say much to such people though it is worth asking yourself why they have that impression... calling yourself a female supremacist will not help matters.)
4. Two parties disagree about the facts of the status quo (if someone thinks that women aren't more oppressed than men or that feminists exaggerate the problem they may have exactly the same view of an ideal world as you do but have very different means for getting there. This is a tricker issue than it looks because facts about oppression are really difficult to quantify. There is a common practice in anti-subordination theory of treating claims of oppression at face value but this only works if one trusts the intentions of the person claiming to be oppressed.)
5. One of more parties have incoherent views (you can point out incoherence, not much else).

I think that is more or less complete. As you can see, some disagreements can be resolved, others can't. Talk to the people you can make progress with but don't go in assuming that you're going to convince everyone of your view.

Edit: Formating.