This has become a common practice in the tech industry, and unquestioned support is expected at a minimum. If you have non-standard hardware on your body, then you can push back a little, but if not then you best stay quiet. If you continue to push back, depending on how hard you push what you can expect is many awkward conversations, decreasing performance reviews, and career stagnation. Getting to the "next step in the ladder" typically requires you to demonstrate your willingness to implement these policies, let alone simply allowing them.
You also need to be careful what you say, as anything you put in writing could come back (potentially out of context) to bite you. You may be recorded a few times in private IRL meetings, so remember that just because it's in a closed-door meeting doesn't mean it is private. I know this sounds paranoid, but I've watched a friend of mine in SV go through this very thing. This is a man who spends his free time volunteering to help underprivileged students learn to code and build robots with raspberry pis in his spare time. I've known him for years and he is not a chauvinist, he just doesn't think it's right to discriminate based on immutable characteristics.
I wouldn't worry about any legal liability on your part. IANAL but I'm certain many good lawyers have reviewed the policy as it's fairly common now. I also can't imagine anyone being sued/prosecuted for giving females preference in the tech industry.