how are they going to do that when there would be a rifle (or a bow) behind every blade of grass?
Presumably with artillery and bombing runs.
I thought we had fully abandoned the whole premise of "they hate us 'cause we're free" and understood the logic that was obscured by that thought-terminating cliche.
I don't think they'd just sit by idly if an anarchist revolution popped up in a developed western state for example. They understand well that a successful socialist project on their doorstep is an existential threat to them. Even by your logic they'd want to intervene because a lot of capital would be lost to them otherwise.
Also the point of a socialist revolution IMO is seizing the industry and cities, not homesteading. Once you start doing that they're not going to look kindly to you and will go all out.