Very unlikely, every country has its own agencies and they always competed against each other.
Fist satellite? Russia
First human in space? Russia
First human on the moon? USA
Right now Russia, China and the US have the most advanced space programms and everyone wants to be the first
no country has the resources and technology to colonize and control Mars and this won't change any time soon. earth and mars have roughly the same land surface. even if e.g. the US or China wanted to "take it" they really couldn't. Probably some big countries will establish their own colonies in different parts and there will likely also be some international colony or something.
Maybe, I don't have enough knowledge on this topic right now, so I can't agree or disagree with your statement.
Just going from the past and what countries invest into space programs, I thought Russia was a viable contender