It feels like you missed Sanders' entire campaign then [0] [1] [2].
The main differences between Warren and Sanders is that Warren's policies are better, and Sanders is a Jewish man (I feel like potentially being our first Jewish president didn't get enough play, but it would have been a powerful moment for the US and humanity as a whole).
> it seems pretty sexist to imply that men oughtn’t be cheerleaders
If you use phrases structured as "[stereotype] [people the stereotype is used against]", that's a stereotype. If your excuse is that the stereotype isn't absolute, it's a tacit admission that you used a stereotype against people. Own it or don't, up to you.
[0]: https://www.youtube.com/watch?v=N3mvbxeA1UA
[1]: https://feelthebern.org/bernie-sanders-on-racial-justice/
[2]: https://feelthebern.org/bernie-sanders-on-womens-rights/
The right-wing propaganda machine is very hard on ambitious women (as a former Hillary staffer I can attest to this), and it's definitely part of the plan to smear these folks in particular. I think we should be asking why there's a concerted, well-funded messaging effort against these women and not against people saying similar things like Hakeem Jeffries or Bernie Sanders. My personal view is that it's raw misogyny. And, frankly, I think you're repeating a lot of it here. In particular your use of the word "cheerleaded" is a pretty gendered criticism.
We're all misogynists, we're all racists, we're all homophobes, because of the culture we grew up in. But by introspecting on this, we're able to fight against it and create a fairer society.