Personally, if 1966 was Auburn, I would probably claim it. The two teams in front of Alabama tied each other, and didn't play in bowl games. Last I checked, winning all your games was better than having a tie in your record.
Also, the Sugar Bowl victory that Alabama had came against a Nebraska team that was 9-1, and ranked #6 in the country. Nebraska's one loss was by one point, 10-9, on the road to Oklahoma. Alabama didn't just beat this 9-1 Nebraska team, they killed them 34-7 in the Sugar Bowl.
The clincher for me is that I don't think Michigan State was that good, and Notre Dame tied them. Michigan State's three toughest opponents were all down that year. Michigan was 6-4. Penn State was 5-5. Ohio State was 4-5. In fact, 9-2 Purdue was the only team on their schedule with more than 6 wins. To me their 9-0 record going into the Notre Dame game was about as respectable as Hawaii's undefeated season a couple years back.
However, I'll acknowledge the 1966 team as soon as Alabama hands over the 1972 SEC title to Auburn, the rightful owner.
Alabama went 7-1 in the SEC. Auburn went 6-1. Auburn's loss was to LSU, but we beat Alabama. But because Alabama played one extra SEC game that year, they win by % points.