I have also become a huge fan of the Doctor. (because of Yoda's urging, I resisted for a long time beforehand becuase I thought I would love it, become obsessed, and then have to OCD my way through 30 seasons of information. All of that happened in the end.) I love NewWho, but I also really am enjoying my research and watching Classic Who.
I have many responses to all the points posted here, and some other things I'm interested in raising at points but I'm tired so I doubt I will get most of it out now.
Like Yoda the Tenth Doctor is "my doctor" (the present doctor when I started, and the first I saw of NewWho, although I have seen and enjoyed a few 4th doctor stories back when I was less than 10) and as empirical evidence over all the years points to, because I that I tend to enjoy him the most.
I agree in principle with many of Plum's points though, he is a bit of a jerk, very inhumane (being inhuman and all, it seems right to me) and obsessed with Rose. All of that makes me like him more, his manic joy at the world is underscored by a depth of darkness that goes far beyond the "warrior" surface anger of 9. Which I don't think is detriment to either, just a difference.
My theory is that this at least in part because 9 was "born of war" whereas 10 was "born of Rose."
Now on the religious imagery of the Doctor as God or Christ figure with 10, my understanding of this is actually the same as Plum's in one way, which is that 10 is a horrible God and inadequate as savior but constantly being put up in that position. Rather than being a failure of writing though, I see this as a triumph of the theme and the character. One of the big, not so secret "socio-political" positions underling the series is a distinct distaste and distrust for religion. There is no "God" in who, but the Doctor has "the power of a God" and it can, and in one of the things I love about the show all the way back, does corrupt him. He has to have a companion who will somehow help him keep his rationality over his need to be a God.
I think each of the companions has an interesting piece of this overall tale, and I really love the differences of the interactions between them. Even the true horribleness that is the way 10 treats Martha is rooted in something that has interest for me. Sometimes this meta argument has to exist on a plane above and beyond the script though, as the script is too weak to support the ideas. (Although that is the joy for me of a fantasy universe as wide as Who's, the Doctor is and can be more than even his writers have him be.)
I stand corrected, you are as vapid as they say.