He may not have a lot of choice. In the book
The Big Sort, the author tracked the progress of Americans over time into self-segregating ideological communities (real world neighborhoods, I'm not talking about online, though that's a thing), and the impact on politics. A big question was whether polarized politics (e.g.: such as Newt Gingrich's influence on the Republicans) had drive polarization of the people, or whether polarization amongst the American people had driven it amongst politicians.
I thought he'd conclude polarized politicians polarized the people, but this 'chicken and egg' scenario ran the other other way. Quite a surprise. And while we lament the seemingly loss of centrist types (whether Center-Right or Center-Left), research showed that there was been a marked drop-off in centrist Congressmen (IIRC), and politicians with more nuances positions instead of more of a 'hard party line' found it more difficult to get elected.
Look at how we vacillate back and forth between very different Presidential administrations. From Zuckerberg's claims about strong pressure to censor during the pandemic from the Biden administration, to his recent trips to Trump's place, it's evident he has to dance to the tune of the ruling power to some extent.
And to make it worse, over time in the American 'culture war,' there's pressure of big companies, universities and leaders to come out in favor of one side in controversies, even if the business of that company or university isn't about that. From what I've read, Disney World's leadership (in Florida) didn't originally want to waded into the 'Don't Say Gay' bill controversy, but some people were determined to drag them into it. Major hassles ensued.
In the wake of Hillary Clinton's loss to Trump in 2016, many people blamed Zuckerberg for not better policing 'misinformation' and alleged Russian meddling (although such accusations are on very shaky ground - see
A Guide to Understanding the Hoax of the Century). During the pandemic, there was a lot of pressure to suppress content encouraging anti-vax views, etc...
And now, if he doesn't want to find out what Trump can bring down on his head, it's free speech time!
Wasn't long ago I saw video of him being grilled by Senator Ted Cruz (sad to see the antagonistic posturing by Cruz, or such was my impression, while Zuckerberg had to remain respectful).
However much he might wish to stay away from it, Zuckerberg has to get political, American politics whip back and force between poles, and so he is at risk to come across as a flip flopping greedy hypocrite.
In a nation with freedom of speech and freedom of religion, we're not supposed to have to fear and kowtow to the government like that, but hey... Tim Cook, the gay CEO of Apple, an obviously socially liberal company, made a big contribution to Trump's inaugural fund. And if Kamala Harris comes back and wins in 2028, watch the butt kissing stampede unfold then.
We may sometimes envy the very wealthy and famous, but the nail that sticks up is at risk to get hammered down.