There isn’t any credible alternative to Google because they’re head and shoulders above everyone else.
There are other search engines, they just don’t measure up.
But I actually think you raise an extremely interesting question: does pushing a political agenda using your monopoly position constitute an abuse of monopoly power?
The advent of privately controlled monopolistic forums is somewhat new. I don't think it's at all obvious how the spirit of anti-trust law should be extended in the age of platforms...
We're in new territory.
As horrible as this may sound, it is a cause for anti trust break up when those in power are right leaning.
I mean, let's not split hairs here. As a matter of pragmatic reality, that's pretty much what it comes down to.