Does this apply to "tothemoon" as well, or just the main satoshibet site?

Probably only satoshibet. As no law is there yet, and its just a measure for the future, so I doubt that other sites would shut down.

Nope, seems it applies to tothemoon too:

Since the start there was nothing but negative things about Tothemoon, [...]

So I decide to close the site.