Shenanigans, I say! ... possibly.
If the aircraft -- with no canopy -- was powerful enough to accelerate through the transonic regime and up to Mach 2 (at probably around 30,000 ft)...
The stagnation temperature would be about 180°C hotter than ambient (so the warmth is plausible). A single finger stuck into the airflow would experience about 10-20 lbs of drag (no super human strength required). A whole, gloved hand would experience 350-450 lbs.
So a whole dude being ejected into the free stream would be lucky to only get a detached retina or some kind of hernia.
I don't see any reason why they would need to do the ejection at supersonic speeds for a movie sequence. It just makes it more dangerous for the crew and more complicated to film. They probably filmed it at much lower speeds and Slavic & urban legend took it from there.