There are no NIMBYs in space. No government permitting on land use. And solar power is plentiful. It's like having a dollar store Dyson sphere.
Making use of that is predicated entirely on being able to put a lot of hardware into space cheaply. SpaceX is the undisputed best at that, no one comes close. The question is whether their "best" is good enough to make space datacenters economical.
But you don't have to build it in someone's _backyard_, just build it in a middle of nowhere.
There are many Not In My Orbit people on this very page. Many current national politicians would be happy to vote AI out of orbit today. Space is not an escape from earthly politics.