I'm not going to take the time to do the research, but I wonder how many teams have a missing championship because they split it with someone and won the coaches poll?
Also, the scoring system used by the AP here is a bit subjective. 10 points for a national championship, while you only get 1 point for being ranked #2 at the end of the season. If you get a #1 ranking during any week prior to the final poll, you get 2 points. IMO, being ranked #2 at the end is worth a lot more than being ranked #1 in week 1. Their scoring system gives too much weight to preseason rankings. Yes, there is something to be said for consistently being ranked in the AP poll. But, a media darling team like ND gets a lot of benefit of the doubt, and they almost always start a season in the top 25 whether it is deserved or not - simply on hype and not how good they really are projected to be. Personally, I would have a sliding point scale where #25 is worth 1 pt in week 1, 2pts for #24, 3pts for #23, and so on. Week 2 becomes more important giving every ranking double the points as in week 1. So in week 2, #25 = 2pts, #24 = 4pts, #23 = 6pts, etc. Every progressive week the stakes get higher as the poll gets more accurate, thus giving more points. No special points for anything. I suppose you could give a small bonus for going wire to wire #1, and for going back to back national champions as that can be particularly hard because everyone is gunning for you.
Anyway, I doubt a different scoring system would produce any seismic shifts, but I wouldn't be surprised to see minor reshuffling.
One thing that I am particularly proud of NU is that while NU rarely is the best school for any ranking (except sellouts and academic all Americans), you will find NU to almost always be in the top 5, 10, or top 15 for EVERY category in college football historically. Whether it be all time wins, stadium size, APR, # of MNC, heismans, etc, etc, NU is consistently ranked in the top 5-15 of every category for these kinds of polls. Just shows how successful NU is, but also how well rounded we are.
GO BIG RED