I'm starting to think these private equity firms are bad eggs! /s

The top three are index funds basically which is not really private equity in the colloquial sense. A lot of people's retirements and savings are held by vanguard, blackrock and state street.

Is there any legal way a company can prevent the sale of their stock to a private equity?

These are not the same firms behind the proposal though. I know some of the funds listed like Blackrock and State Street have supported DEI at least in the past and have been targeted by the far right for that reason.