Eliminating the kickoff would be a step in the right direction
I have been a fairly big fan of Schiano's proposal.
I like that it makes it possible to get the ball back after scoring, when recent rules have made onside kicks incredibly difficult to recover. Maybe it makes it too easy, though.
I really question whether punts are safer than kicks, though. I don't have any injury data to look at, but kick protection seems a lot more straightforward than a punt, where you have to line up and watch for a fake, then sprint back alongside the guy you are going to try to block. You see punt returners get absolutely lit up if they make a poor decision to not fair catch when they should.