Actually no.  Russia was military defeated, outright, in the first Chechen war to the military forces of the tiny region, and the rebellious government remained in power.  Only after the second war was a semblance of federal sovereignty returned to Russia.  The second war, three years later, only came about because Chechnya tried to invade a neighboring Russian province and expand its power by taking more Russia territory. Russia was, however, militarily successful in Georgia last year, although its purpose was not to remove the Georgian government.

By comparison, since the American survival of the cold war, the US has militarily defeated Panama in 1990, Iraq in 1991, Serbia in 1999, the Taliban government in Afghanistan in 2001, and the government of Sadaam Hussein in 2003. America's military defeats so far really only include its small operation in Somalia.  In Iraq and Afghanistan, the jury is still out on the new military missions of supporting new and sustainable governance institutions, but with the the strengthening of Nouri al-Maliki's clout since Obama's declaration to withdraw forces earlier, that mission actually looks brighter now under Obama's strategy than it did a short time ago under Bush.