My One Issue With Armageddon

First off, I love this movie. Saw it in high school on a date, solid cast, great theme song, etc.

Now, ignoring the fact that NASA happened to have two super secret shuttles available, and just happened to have a Martian dune buggy that could happen to be able to be fitted with a space drill, and just happened to have a bad arse roughneck that had drilled every place in the planet, and that Mir happened to have enough LOX available to refuel the shuttles, what I have a hard time with is the time line.

They figure out at the beginning that they have 17 days and change til the asteroid hits. Harrys platform is in the South China Sea. With ridiculous logistics, we assume the air force could fly Harry and Grace to Houston in 24 hrs. In that span, his whole crew has left the rig and gone home. Let's assume it takes another 2 days to get them all to Houston. They said they have 12 days to train in the movie. We're now at 15 days movie time. Now you have to stop at Mir and refuel. That probably takes about 12 hrs. Now you have to achieve escape velocity. It took Apollo 3 days to get to the moon with the most powerful rocket ever made. Those shuttles are nowhere near a Saturn IV. Either way, we're now at 18 days with a ridiculous amount of time management.

Distance from Earth to moon is 238k miles. I believe they said the rock was traveling at 25k mph. That's a 9 hr trip. Then wasn't the "Zero Barrier" 3 hrs? So you're gonna land, set up, and drill 800 feet in 3 hrs? Come on.