The whole "media distraction" thing is being way over valued. Do you really think it's going to impact Brady if the media is asking questions about Tebow? The media is going to spend an hour asking questions regardless, the play on the field will not be impacted by which questions are or aren't raised in a press conference.
Tebow was waived at the end of April. It took over a month for the Pats to even show interest. I don't get why anyone believes this is part of a master plan, or any plan at all, by Belicheat. Seems like an afterthought to me. Normally we'd consider this camp fodder if it wasn't Tebow. At best this is an experiment by BB.
IMO it's likely a case of Urban Meyer asking his buddy Belicheat to do him a favor to re-validate Timmy's worth through association with the successful Pats and interest by him personally in what's turned out to be a no-risk signing. (aka "friends helping friends").