You can't say not all opinions are equal and everyone should have an equal vote.

Are some ideas worth more than others should some people's votes count more than others? You can't have both.

This is ridiculous. "Everyone should get a vote" explicitly rejects the idea that all opinions are equal, as it explicitly rejects the opinion that "not everyone should get a vote".

It is impossible for both of the things you suggest to be true at the same time.

But if “well, women getting to vote isn’t inherently better” is a hill you want to die on…