In that 30 year span, you averaged a Conference Championship almost every other year and a NC every 5. That's routinely dominant.
In the 1925-1949 span (25 seasons, going back further is pointless), you averaged a Conference Championship once every 3-4 seasons and a NC every 5*. That's routinely dominant.
From 1980-2009 (30 seasons), you averaged a Conference Championship once every 6 seasons and a NC every 15. And you can thank the 80's and 90's for that stat being as good as it is - more recent history is less kind as far as "routine dominance" goes. Don't get me wrong, I'd trade spots with you, but the 'Bama of today isn't my grandfather's 'Bama.
*Includes the 1941 NC. Which is ********. Look up top.