Plot holes: Col. Ross uses a lander/ascent module from the "mirror" Earth to recover the mother ship from his own Earth in order to prove the existence of both worlds. There was concern that the electrical polarization (right-hand rules, etc.) would be different for each vehicle. Since this could potentially pose severe consequences for both vehicles, then why did Col. Ross attempt to physically dock the two vehicles (with the predicted result)? Surely it would have been more prudent to park the ascent vehicle a short distance away and space-walk the remaining distance.
Factual errors: When Dr. Hassler is developing the film from his eye camera, he does so under a red safelight. However, red light will fog undeveloped film; only photo paper is non-responsive to red light.
Crew or equipment visible: When John Kane is retrieving photographs in the space craft before landing, there's a hand in the printer slot handing out the photographs.
Revealing mistakes: When the astronauts are training for their mission, and have a parachute jump, clearly one of the parachutes doesn't open.
Revealing mistakes: When placing the astronauts in the capsule, we see Roy Thinnes facing us on the left-hand side and Ian Hendry on the right-hand side of the capsule. A few seconds later, the positions are reversed and remain so throughout the scenes involving the capsule.
Factual errors: The technician who rescues Kane and Ross claims to be "Air Sea Rescue, Ulan Bator" (the capital of Mongolia). Mongolia is a landlocked country and is unlikely to have a "sea" component to its rescue operations. It is further unlikely, given the arid location of the crash, that the technician would have use of the amphibious gear that he is seen wearing.