Well, it might be going to his head, but I think it is more about the presenter. Even if you are presenting the Spooner Street Neighborhood Watch Alliance's Annual Gala Awards to your jackass neighbors for stalking each other, you do it with enthusiasm, which is what the first part of that clip shows Sir Patrick lecturing about. Even if Stewart is drunk of his ass, the classier way of winning is to accept the criticism, let him go back to his seat, then ask for them to call a taxi.
Although, the way the two of them were whispering when Saldana was on stage was odd to me. Staged angst to get in the tabloids?