Yes, he certainly would. Then again, the Doctor is usually anti-big wig, be they politicians, CEOs, military, or some other force he's always on the side of the little guy.
As for the episode itself. I was crying most of the way through it, and I almost couldn't finish it for sheer disgust. I'm a political science major. I know that sometimes sacrifices must be made for the greater good of all. That's perfectly fine. However, when you cold heartedly plot out how to avoid getting the mucky fallout on yourself and onto others, well that just makes my stomach turn. I was really hoping that Frobisher's secretary would kill the Prime Minister. Hhowever, her revenge was much sweeter than that.
As for why she had to take revenge. I didn't know that you could requisition a suicide/homicide kit from the British government; Requisition 31 good to remember.
As for the hard hitting bits of the episode. I had to distance myself before I could even start writing this. I was in tears. I was disgusted. The fact that the 4-5-6 are simple drug users makes their interstellar (maybe intergalactic) evilness seem so human. It was chilling, and terrifying, and pushed home the point that no sentient is ever free from the danger of things like that - addiction and vice.
It was a brilliantly done piece of work. It was frightening and moving, and terrifying. Watching the scenes where they take the kids, watching as Frobisher finds out that PM Greene is willing to sacrifice another's children (his kids) so casually and the terror in his face and voice made the scene heart-wrenching. Though I knew almost at once how it would end.
Of the three series in the Doctor universe this one is the best done for acting and moving the audience. The Doctor has his moments, but he's so happy go lucky that they don't come often. This was three years in the making as Jack listed the dead at the end. If they must end Torchwood, do it here do it now. If they carry on, then they'll have to wait for another climax like this (which is hard to imagine) to kill it off again. Otherwise the series will look like the actresses past their prime trying to pull off the hottie in the piece, and failing miserably.