I'm probably going with a mistake here by giving a serious answer, but there are several things you can do.

1.) Win. As soon as someone breaks the SEC's streak it will benefit all conferences outside the SEC. If the SEC loses multiple years, it would be even better for the other conferences. You can't do things like gray shirting if you don't have kids beating down the door to play for you. They'd go other places. The SEC gray shirts more frequently because it CAN gray shirt more frequently. It would help if the SEC did poorly in Bowls here. I put this as a possibility because while the SEC is the best conference bar none, sometimes things do go wrong on the field. The best team doesn't always win. If you look at the numbers in the Florida vs. Oklahoma game, Florida completely dominated the game but only won by 10. Auburn could have easily lost to Oregon. Most years, there is at least one team that has the ability to compete in the SEC and do well.

2.) Hire the right kind of coach. There's something that all coaches having success in the SEC do well- develop players. X's and O's aren't as important in the college game. Neither is in game decision making. Les Miles does not do well in the SEC because he's the greatest guy at drawing stuff on a board or the dirt. He's good because he is able to identify and develop talent. This does right along with recruitment. SEC coaches are very good at identifying potential and developing it quickly rather than just picking up kids everyone knows can play right away.

3.) Hire great coordinators (especially defensive ones). X's and O's are still important. Leave the schemes to these guys.

4.) Recruit well out of the South, Florida (you guys aren't the South, sorry), Texas (again, you guys aren't in the South, sorry), or California. The football source beds used to include the NE and the Midwest... used to. It's no longer the case, and a competitive team can no longer be fielded drawing primarily out of these areas.

5.) Schedule more difficult opponents. While other conferences love to talk about the pancakes the SEC plays, virtually every SEC team at some point has to run a gauntlet, playing several physical and tough games in a very short time frame. Even Alabama with a weaker schedule played LSU, TAMU, and Georgia within 30 days (I think it was 28 days). Playing against good teams prepares you. I believe the hardest adjustment to make in football is the one where you underestimate your opponent and have to make scheme adjustments. It's trivial to make adjuments when you have overestimated your opponent.

I hope nobody minds a baseball reference here, but when you go from little leagues where no one can throw a curveball to high school, there's a learning curve. You haven't seen a curveball, you have a much harder time with it. Notre Dame has never seen a line like Alabama's line. Even if (and I do not believe they are) they are as good as Alabama's line (both offensive and defensive), they've played against inferior talent and it will show.