The most significant difference between a all-time great coach like Bill Belichek and a very good, but not great coach like Andy Reid is attitude.
Andy Reid is a "nice" coach—he doesn't take pride in humiliating opponents, he doesn't demand excellence from his players and he certainly doesn't live to break his opponents. Belichek does all three every week.
After witnessing "injury-gate" in Week 2 and the conditions on the field at the Linc, Belichek would have come out running nothing but a hurry-up offense. He'd rotate WRs to Aaron Ross' side of the field, sending each on go routes, double moves and stop-and-go patterns. Whether or not the ball ever went to Ross' man is irrelevant.
What is relevant is the fact that by the fourth or fifth 50-yard sprint down the field in sweltering heat, Ross (or any other CB) would be begging for air. And then Brady and Belichek would go after him.
There would be no mercy breaks. There would be no huddles or chances for Ross (or anyone else) to leave the field. There would only be more go routes, more double moves, more stop-and-go patterns until Ross blew a coverage, at which point it would go for six. The next series after that would be more of the same. Over and over and over again.
That's how a mean coach game-plans. Andy Reid needs to get mean. He needs to learn how to destroy opponents. He needs to demand excellence from his players and punish those who fail to give it to him. He needs to be more like Bill Belichek and less like Santa Claus.