I've seen extensive highlights of the game (they spent roughly 10 minutes on the game on Cold Pizza one morning) and have seen every turnover from it. You're missing my point though. Even if the Bears did make mistakes the Phins still put themselves in a position to make plays and then executed on both offense and defense. I am not a believer in luck, the defense creates opportunities via schemes and then has the opportunity to finish. QBs make mistakes in every single game and it's up to the D to make plays when they do. The Phins D did that.
On the flip side of the ball, the Dolphins O ran the ball all over the vaunted Bears D and also executed in the passing game when they got the ball in the red zone. It's easy to say, "they had a short field" but the offense still had to put the ball in the endzone when it mattered and they did that. You're simply not giving the Dolphins the credit they deserve for beating the crap out of the Bears.