I don't think they are going to trade Newton because BB clearly still thinks he's the best option to win games this year, and BB isn't a "screw it, let's blow it up" kind of guy, even for a season.
Gilmore does seem like an obvious trade candidate and I'd be saying that even if the Patriots were doing well this year, just given his cap number and the Patriots' need to improve at a number of positions through the draft. Thuney's injury complicates things somewhat but I also wouldn't be surprised if they traded him, again largely due to the economics and because BB has made similar trades before. Then again if the Pats are truly hitching their wagon to Cam maybe they want the strongest OL around him they can get.
I'd be perfectly fine trading Edelman too, but I honestly doubt anyone else wants him at this stage in his career and also suspect BB would be very hesitant to trade the one veteran presence in the receiving corps, despite his lack of production this year.
Finally, I wouldn't at all be surprised if BB also trades for one or more lower-profile players, in the mode of their trade for Van Noy in 2016 (whom they took from the Lions almost for free, just switching sixth and seventh round picks).