I don't hold the England team responsible for the media's actions, or vice versa. I'm simply not a patriot so it all tends to get a bit much. Yes they build up and knock down everyone, but with United for example, there'll at least be a degree of sense and objectivity. When it comes to England all bets are off. It becomes utterly ridiculous and often somewhat distasteful...and I don't really like the idea idea of the people responsible gaining the satisfaction of their team being succesful. It's not a reason in itself for me not supporting England...it's one of a number of contributing factors to me usually not supporting them very much (or often not at all).
Other reasons include being forced to cheer for John Terry, being left repeatedly annoyed by the conduct and reward of managers such as Capello and Sven, the ridiculous blaming and hounding of identified scapegoats when England are outplayed and beaten by someone better than them, and of course the non patriot thing. I often end up feeling sorry for most of the actual team.
If I was a diehard England fan though, I WOULD hold the FA partly responsible for the England team's actions, and lack of relative success, because part of the FA's job is to manage and look after the England team, and they do an absolutely pathetic job of it.