Dan Wetzel has a good take on Tom Brady and his relationship with Donald Trump. I agree with the idea that it is a no win situation for Brady and at the same time none of anyone's business.
If I owned the Patriots - here's how I would handle the situation:
First I would cancel all current press credentials. Then I would have all the "journalists" reapply but have to fill out a brief form. The form would ask, "What is your political affiliation?" "Who did you vote for in the last two Presidential elections?" "Who do you plan to vote for in the 2016 Presidential election?"
At the bottom of the form would be a box you can check that would say, "I'm not answering those questions. My politics or anyone's politics is nobody's business. I'm just here to cover football."
Then I'd only give credentials to people who checked the box.