NFL Overtime format.?

I love watching games, but I don't like the overtime rules and have an idea to make OT more exciting.

Team that wins the OT coin toss scrimmages at the oppositions 40 yard line. They get 4 downs to try and score a field goal or TD. (First downs allowed). They either score or they don't score.The other team then takes over and starts at the 40. They must equal or exceed the score of the first team. If after the 2nd team's scrimmages the score is still tied, the first team gets to try again. Continue this way until both teams have had three chances to beat the other guys. If it's still tied after each team has had it's three tries, the game ends in a tie.

Example 1

Team A scrimmages at the opposition 40 - scores a field goal.

Team B scrimmages at the opposition 40 - scores a field goal.

Team A scrimmages at the opposition 40 - scores a field goal.

Team B scrimmages at the opposition 40 - scores a TD. Team B wins.

EG 2

Team A scores a TD on their first try.

Team B is intercepted on their first try. Team A wins

EG3

Team A scores a TD on their first try

Team B scores a TD on their first try.

(continue two more times to see if somebody can win it)

Thoughts?