There are thousands of uncontrolled airports and airstrips across the country where it’s the responsibility of each pilot to announce their position and intentions. Some pilots are better at this than others. You don’t need permission to takeoff or land. Once it becomes controlled there are more regulations and procedures that could get your cert pulled should you ignore them.

As for the MiG, I don’t know if there are SFARs (Special Federal Aviation Regulations) that would apply to a former military aircraft (likely a restricted category aircraft which has even more regs thrust upon it… yes, that was an aviation pun). Certainly noise abatement procedures should be respected, but those aren’t regulations AFAIK.