Part of the problem is defining "They"
In the Che Guevara scheme of things, it is said you only need a dozen hard core militants to start a revolution. It's likely that there are Chechens who side with the Russians, there are Chechens that participate in the guerilla war, there are Chechens who somewhat sympathize with independence, and there are Chechens who just want to go on with their lives (which is probably the majority). Problem is that these groups all blend together, events cause the lines to shift and be gray, and it can be near impossible to distinguish friend from foe.
Personally I think kidnapping and killing athletes, journalists, and children, and blowing up buses and airplanes, crosses a line where I lose sympathy for any cause which you may wish to put on the agenda. But the radical Palestinians have been practicing these tactics for years and they seem to constantly garner attention and sympathy from their neighbors and the world at large. So I suppose that just means we'll see more and more of this stuff.
Non-violence as a strategy seems to have failed to taken hold.