You are very confused.

The nuclear bombs were to save earth, it was designed to split the asteroid in two or blow it up form the inside or something something. It wasn't very scientific, but still way better than Deep Impact as entertainment. Go watch stuff on Youtube about Double Asteroid Redirection Test (DART) if you really are into this sort of stuff [1]

Why would people on Mar not be into Michael Bay? Well, they probably will, humans don't really change sadly. He'll probably become a historic figure in some sort of sect, our culture is going off in strange directions. Strange compared to the past 100,000 years, where it was just simple stuff about the gods and we killed each other over that.

How about step one we get to Mars, then worry about the culture. It'll be very interesting whatever way it goes.

[1] Or read "Cubeworld", by Henry H. Gross for a fun short story on this idea, by making the Earth a cube the change in gravity something something deflect asteroid https://www.amazon.com/Mathenauts-Mathematical-Wonder-Rudy-R... "Mathenauts: Tales of Mathematical Wonder"

Anyone that liked that story should pick up a copy of Mathenauts - an anthology of Mathematics themed short stories put together by Rudy Rucker. Many of the stories have a similar feel to that one. You can find it on Amazon here: http://www.amazon.com/Mathenauts-Mathematical-Wonder-Rudy-Ru...