With respect to the argument that it was all Tom Brady, here are playoff scores from their titles together.
16-13, 24-17, 20-17 over perhaps the best offense ever at the time
17-14, 24-14, 32-29, two titles and Brady's offense scored 25 points exactly once in 6 playoff wins so far and averaged 22.2 ppg (average NFL offense)
20-3, 41-27, 24-21
--------- (this is the transition)
35-31, 45-7, 28-24 their 4th title was the first one where the offense produced well in the playoffs
34-16, 36-17, 34-28
41-28, 37-31, 13-3(!!!)
4 out of their 6 titles together don't happen if their defense wasn't excellent when it mattered. They were both awesome and neither would have won nearly as much without the other.
And the above doesn't even include Brady leading one of the greatest offenses ever to the below playoff scores
31-20, 21-12, 14-17
Averaged 36.8 ppg in the season then 22 in the playoffs.