My NMT pushes when on power anyway... although, I haven't really driven it much at all since I got it. It's been too cold and the parts just aren't as beefy as my savage's, so it doesn't hold up as well.
As light of a truck as it is, I don't think locking the rear diff is going to really damage anything, unless you shoehorn a 21 in there. I ran my maxx with a 21 and locked rear diff. I did it as a last resort as the aluminum diff cup was wearing out where the outdrives come through the cup. I ran it that way for about a gallon and it held up fine.
As fast and light as the NMT is, traction is always an issue, at least it is with mine and an OS 18 in it...