I hate 'First to...' anything.
Give both teams a chance to have the ball somehow. Put a set time up there (like 10 minutes) or make it a match game like college (I get a field goal, you get the opportunity to either get a field goal or win the game with a TD); somehow, both teams deserve a chance with the ball.
'You have 4 quarters to win the game.' True, but because of a coin flip, one team gets 4 quarters plus another coupe minutes to try and score to win the game while the other team never even had a chance to score?
'You pay your defense millions to stop the other team's offense.' True, but BOTH teams pay their defenses millions of dollars to stop the ball, but only one team has to use their defense in overtime, because the other team won a coin flip? So the team who won the coin flip is paying their defense millions also, but doesn't have to worry about using them? Because they accurately called a coin toss?
It is broke.
Fix it.