Thanks for the analysis Andre angel. This is also one of my favorite films, and I share some of your viewpoints, though I couldn't see any flaw at all in the main character, he was more like a perfect example of an ideal everybody ought to achieve. 
But I think it's nevertheless a war movie, because the war is present all the time in the film. War isn't only about weapons and killings, but effects also everybody who's "stayed behind". This is mostly what the film is dealing with (though I see the main focus on the love story): people living in war, without being "active" in it. It shows, how war affects every part of life, and different ways of dealing with it.
In the end I found the film a bit too didactic too be really great, but heck, that's just with me, as I prefer more "open2 films.

PS: When the old man in the hospital lies to Alyosha about his daughter, he is trying to do something good (watch closely!), and as for Vasya the crippled soldier, there is never a hint that his relation with his wife was in any trouble. To me it appeared more, that he loves his wife very mutch, and he has also the "best intentions" because he doesn't want her to bear the burden of living with a crippled person for the rest of her life. If he doesn't go home, her life will be "easier" after she has gotten over him, and he knows, though that his would be very hard alone. I think he's just afraid of seeing her reaction, if she will stay with him, if she really loves him, when he feels degraded and unuseful, and Alyosha convinces him, that one must confront ones fears, and face the truth.