I don't think he would do as well. I think the mentality of the Patriots system is to rally around adversity and play with a "us against the world" type mentality. It's pretty much the opposite of the mentality of 80s and 90s, San Francisco teams.
I don't think the Pats would do as well without the adversity to rally around.
The Pats seem to have lots of injuries to key players but I think it is just that they get more notoriety due to the creative ways that the Pats fill the roster spots.
I would like to see the stats comparing players lost to injury. It is likely that the Patriots don't have significantly more injuries than any other team. For example, the Eagles have had tons of injuries, especially to the defense, over the last few years but never missed a beat.
I think they rally well but I still think they'd have won the past two Super Bowls if they'd been healthier.