Even though I'm not letting it bother me too greatly, I do agree with you that RTD could have used the Archangel network better. For example, instead of the "lonely, floaty god" powers thing, the psycho-hypnotic effect could have simply worked in reverse with no special effects.
So, you have a scene where the Master goes to shoot the Doctor, then suddenly finds he can't make himself do it, all while the video screens are full of people around the world shouting out "Doctor!". The Doctor then calmly explains that he's tapped into the network, rigged it to use the combined will of six billion people to go through him as a focal point, giving him the kind of hypnotic control over the Master that he enjoyed over others. The Doctor then commands him to reverse the aging effects, and the rest plays out normally.
Yes, I think he could have done it far better, I'm just not buying into the idea that The Last of the Timelords is worse than Love & Monsters.