Feminism is cringe for the same reasons MRA is cringe. Men and women have distinct roles and places within society, and although there's plenty of overlap in some places, there is far more that exists outside of this gray area than exists inside of it. Women and men should not be treated equally for the same reasons different races should not be treated equally. It is, somewhat ironically juxtaposed against the common propagandized definition/ideas of fairness, unfair to treat people the same when they are inherently biologically different.

That being said, however...

Anti-woman sentiment is retarded, childish, and borderline (if not explicitly) homosexual, for the same reasons again that anti-male sentiments are. Any distinctions on gender, just like those based on intelligence, race, etc. should be purely pragmatic/traditional. If there is no valid traditional, scientific, or logical reason for a distinction to be made, that distinction most likely is unnecessary.

To use your voting example, I would have only a few issues with women voting, in a system where voting is allowed, as long as they can pass the same intelligence and political aptitude tests/qualifications that a man would. There are definitely things a woman should not be doing and vice versa, however; for example, women should not be allowed in the military. There are innumerable reasons that allowing such would be harmful and unnecessary (which I can expand upon, if some of those reasons aren't obvious). Similarly, men should not be employed in effeminate industries or forms of employment where they are equally out-of-place and/or unnecessary.