Agreements like the Outer Space Treaty primarily bind weak nations. If US, China, (and eventually, India) truly believe that space dominance is critical to national security, then the treaty will become similar to the nuclear weapons agreements, an exclusive club for those who has the power to do so and everybody else will be kept out under threat of war and sanctions.
Lawyers too sleep well at night because of rough men willing to do violence on their behalf, it is just sometimes they forget that the armed enforcers of international law are sovereign powers who can rewrite the very laws should they win.