Another poster has already observed that Belichick is instant copy, instant headlines, instant clicks and viewers.
They don't "hate" Belichick, they love him as a story line.
Many folks observing Sports, Politics, Entertainment, etc., don't seem to understand that, with rare exceptions, those who are responsible for feeding the insatiable appetite of today's 24/7 media and information outlets don't have "real feelings" for the people whom they cover. All they do is reflect what they perceive or can create as public opinion to generate readers, viewers and web browsers.
The fan bases in several of the biggest media outlets in the US (NY, Philly, Dallas, Miami, Chicago, Baltimore/DC) as well as those in most of the major midsize media markets that comprise the heart of the NFL (St. Louis, Indianapolis, Jacksonville, Nashville, San Diego, Charlotte, etc, etc) all went ape-**** over spygate because they already resented what the Pats had accomplished. It was a Made-To-Order ratings bonanza for ESPN and others, complete with a hooded villain and a team that had beaten up on the NFL for most of the decade.
People will be a lot happier if they just accept the fact that this isn't supposed to be "news" and that it's really just entertainment that makes a lot of money for a lot of people.
My point is, we really shouldn't personalize this. Is it fair? Hell no! Is it the way of the 21st century? Without a doubt.
Stop taking all of this personally. Belichick did a long time ago. It's a business. The NFL is big ratings and big bucks with, let's face it, very few great storylines.
Belichick is one of its greatest story lines. Most of Middle America (the viewers who buy the automobiles and beer whose commercials pay the bills around the league) doesn't like him. The media plays to that.
Middle America loves Paymeaton, so his story lines are generally positive.
Brady is a mixed bag for them; he draws women viewers (50+% of the population) and has an appeal that crosses over to non-Sports arenas, so they tread lightly, both praising him and also feeding the anti-Patriots haters with stories about how he gets preferential treatment from officials.
It's all completely predictable. Sit back. Enjoy it or ignore it. I try to ignore it, but also have learned to "embrace the hate" and kind of get a laugh out of it sometimes.