I'm not sure about demanding a trade, but I'm with you in thinking that he's going to be the odd man out and sacrifice his shots/touches the most with Green. I've preached that there's going to be chemistry/fit issues the whole time, and the Olympics and his recent comments have only seemed to add fuel to that fire and point to Thompson as the odd man out. If it does go sour, I would think that next summer they'd ultimately choose between KD resigning and keeping Thompson, unless it would get real bad during the season.
And honestly, is there a player in this league better suited for the two spot between Curry and Durant than Bradley? I don't think so. In fact, I think they'd ultimately probably be an overall better team with Bradley than Thompson when you figure in his better overall D (especially to contain Irving/Paul/Westbrook/etc.) and less need for touches.
But in the unlikely event that things would go sour enough this season for him to demand a trade, I would definitely be very interested in Thompson, whose scoring and shooting would take us to another level. You'd almost have to give up a Brooklyn pick for him, though, something like Bradley, JJ, and the Brooklyn 2018 pick. And he very well might be worth it.