Is the Saints record a deserved one?

The New Orleans Saints have a record of 13-0. They are tied for the best team in the NFL with the Indianapolis Colts. However, they have had many close games and won one game they deserved to lose. Versus the Redskins, they had the game of a lifetime.
The Saints were down by 7 to the Redskins in the fourth quarter. There were less than two minutes left and the Redskins had the ball on the 23 yard line. They decided to kick a field goal to make it a two posession game. This would pretty much win the game for the Redskins, and end the undefeated streak of the Saints. The Redskins missed the field goal, which is usually automatic. This cost the game.
By the time the Saints got the ball back there was about a minute left. In thirty three seconds they managed to get a touchdown and take the game into overtime. However, the Redskins got the ball and got a chance to redeem themselves. They took the ball to the thirty yard line on their drive and had a good chance at a field goal. However, because of the last field goal attempt they decided to keep the drive going. They threw an interseption. The Saints took it back to the fourty yard line, and kicked a field goal to win.
This game was a win they didn't deserve. I am a Saints fan and I know they don't come close to the team the Colts have. I feel the Saints are a great team, but are extremely overated. If all the games weren't won out of the other teams fault, at this point (week 15) they would be maybe 10-3 or 9-4. However I always want opinions. Tell me what you think.