This is not precise comparison. The Russian military actions in Chechnya are quite similiar to the ISAF actions in Afghanistan, including bombings of civilians and refusals for journalists (http://www.stripes.com/news/files-prove-pentagon-is-profilin...) This is the face of modern warfare, not security operations.
Note that while not as widely deployed as the US versions (most likely due to spending barriers), Russian UAVs are under active development. If/when combat ready, you better believe they'll deploy them. Probably with the same attitude as US/NATO. As sad as it might be, it's the rational thing to do - not endanger any of your citizen's lives, get the target, remain relatively untouchable... From the military's perspective, the "innocents" are collateral damage, to be minimized, but acceptable within a given range.