Using your logic, you should leave Montana out of the picture too. Talk about a guy who lived for short passes! He had a huge advantage in being at the forefront of a revolutionary offensive scheme (WCO) that nobody could defend against, coached by one of the offensive greats (Walsh), and having the best wr of all time.
The 'EXPERTS" all say Brady is one of the best, if not the best, of all time. I guess those experts are different from you're experts? Who is it who picks all-pros? isn't it the players? The same players that Brady bested, year after year? I'm sure personal feelings don't come into it. Like the Steelers would put aside the whoopings they've suffered in Bradys tenure? Yeah, right.
FYI, the Pats defense was far from top five in 2001, 2007. Last year he beat mannings record (achieved with Wayne, Harrision, James on his team). I guess manning shouldn't get credit for that? In your mind, Brady doesn't. In '01, Brady had Brown, Patten and freakin Wiggins at TE, yet still did enough to win a championship.
Farve, marino, Montana - all say Brady is one of the best all time. I'll take their word over any 'expert'.