Here's how I think the OT Should work. It should be a 15 minute sudden death continuation of the game as it is being played in the 4th.
So if you have the ball with 2 mins left and drive down field to kick a game tying FG as time expires, you are kicking off in the 5th quarter, just as you would in the transition of the 3rd to 4th quarter.
This will create the need for tons of new strategy at the end of games. Do you go for the game winning drive late, or do you just try to move the ball down field far enough to take the Game to OT? Do you call time outs when the other team has the ball with 2 mins left in a tie game, hoping you can get them to Punt on 4th down at the begining of Qrt 5?
I do however like the Sudden Death, that makes it stressful and that's fun.
What sux, is when a team drives the field, kicks the FG late, ties the game as time expires, then wins the coin toss and gets the ball with momentum. They should be Kicking Off, and the Return team should have the ball, just like the other 60 mins of the game. I hate the coin toss. Let them play it out on the field same as they would the rest of the game.
Also if its a tie game, and you have the ball at your own 20, instead of "playing for OT" as some coaches do, by calling a run play on 1st down, it'll force them to be more aggressive, cause if you don't get yards, me as the coach for Defense, I'm going to call a Time Out and hope to force you to Punt the ball back to me.