Toxic, an enemy of my enemy, is simultaneously my enemy, so he cannot be my friend.

Although the trick was indeed underhanded towards the group of doctors, overall, if one side later betrayed the other, I would consider it to be more or less acceptable. After all, the entire game is built on treachery and deceit, so how is one better or worse than the other?
Toxic, call me Siever and don't hesitate to publicly defend your beliefs, because you shouldn't go to extremes – such as fanatical belief in your own righteousness, or refusing to speak and discuss your thoughts at all. As the song says: "Defending your views is the first step towards self-discovery."