Believe me, when you start sanding that floor, the "mud dust" will be a distant memory and will seem miniscule compared to the sawdust you get from sanding.
On a lighter note though, you will notice that as soon as you sand the wood, all the garbage on the surface will get ground off and the "fresh" wood look will appear. It will be dull at first because of all the sawdust, but once it's washed and waxed/polyurethaned, it'll shine like new.
Just make sure that before you put any coating material on it, that you have washed it good at least 4 or 5 times. This of course follows 7-10 sweepings. Otherwise, you'll trap the sawdust in the coating and it will always be dull or dusty looking.