I'm pretty sure that when the world ends, all that will survive will be creeping charlie and mosquitoes.
I'd suggest you try one of the two following choices:
1) Apply a herbicide that kills broadleaved weeds including creeping charlie -- check the label for the list of controlled weeds. It should contain 2,4-D and MCPP (mecoprop). It might also contain dicamba. Dicamba gives the creeping charlie a good whopping when combined with 2,4-D and MCPP, but can damage nearby trees and shrubs, so choose one without it if need be.
You'll probably have to apply it two or three times, at 10-14 day intervals, for complete control.
Once the weeds are dead, you can overseed the remaining lawn and dead spots with grass seed.
2) Kill the entire lawn with RoundUp. It will take at least two applications, spaced about a week apart. Then seed or sod.
For more specific instructions for starting a lawn, choose Ideas & Know-how from the menu at the top of managemylife.com
, then "Lawn & garden center," then "Lawn establishment and care" from the Browse list below the main photo.