I disagree in regards to the idea we ought not identify as feminists. Its important to call things what they are, and in the fight for gender equality, what we are fundamentally opposing is the patriarchy which imposes gender roles upon us all.
You say:

we all need equal work for equal pay
We all need to be treated fairly
We are all slighted in some situations

While I agree with you on that point, you conclude that:

So, I guess what I am saying is that there really are no such things as women's issues. They're human issues that we're all better off addressing.

Which I could disagree with really depending on what you meant, I don't want to put words in your mouth and fall into the pitfall of slaying a straw-man, but that reads as terribly reductionist. Different minorities are still facing systemic discrimination and we have words for the study of those power relationships for a reason. Systemic discrimination on the basis of gender, race, sexuality, class and nationality still exists in the world today and while the struggle to address these things is certainly intersectional, there still exists seperate schools of thought which seek to understand and address these various systems of discrimination.

To identify as a feminist is not in any way to disregard the other inequalities against which we struggle; To be a feminist is simply to recognize that the patriarchy - that is specifically the mechanism responsible for the hierarchical reinforcement of gender roles - is a social poison we must struggle against and is not in any way to the exclusion of the fight against classism, racism, or any other form of bigotry.