The thing is, you assume Archer must have lived all those intervening years and actually be 150. He did more time travel than anyone else for starters. Then there are a million other possibilities - like Columbia's relativistic journey in Destiny
, dozens of temporal phenomena we've seen over the years etc etc. Bizarre is the norm for Star Trek characters.
It's not real life, it's fiction. I see a cool crossover story waiting to be told one day (one deliberately hinted at in the movie, no less), not a mistake to be grossed over and rewritten.