Damn, Father Andrei. No one was asking you to ID them without their disguises on! Idiot.
Oleg will be fine. They have nothing to hold him on, and his dad is friends with Gorbechev — who didn’t get overthrown. There will be some sort of trade, even if Oleg wasn’t there on official KGB business.
Paige will have to get better at lying REAL fast to fool the FBI, even if Stan covers for her. (Which he’ll have to, to some extent, to not let it be known that he let them escape.)
And the family can reunite in a few years, when the Cold War “ends.” In the meantime, Phillip can finally meet his grown son, and his little brother. Maybe even reconnect with Martha, assuming she’s happy now with a kid and maybe even a man. And they can all be friends with Gabriel.