I actually really like this idea.
There's no need to reboot it back beyond Doctor Doom, or to eliminate concepts which weren't 'there' in 1962. Because, honestly: if you have a choice between the Mole Man and Doctor Doom as your villain, you've got to go with the Doc. Sadly, Hans Moleman has more or less put paid to any serious cinematic depiction of the Mole Man.
But I do like the idea of a retro 1960s spacerace type idea, with retro technology (a spaceship that looks like a rocket should, damn it, with fins and chrome and all), 60s hairstyles and a tongue-in-cheek look at the whole era. Problem is, though, I can't see America liking the idea nearly as much as I do.