I agree that America would win, but Russia also has two other things going for it, if not three.
First, while the U.S. population is about 200,000,000 people stronger than Russia's, Russia's total number of military personnel is greater than the U.S.'s by about 19,000,000. If you do the math, that's about 10 or 11 Russian soldiers for every American one.
Second, even though the U.S. does have military strategies, Russia has held off two of the greatest military generals throughout history. They held off Napoleon in 1812 with their "scorched earth" policy. They also held off Hitler, though he did get a ways through Russia before they turned him back.
But overall, I'm willing to assume we would win a war against Russia, unless someone on either side gained allies. Which would consequently lead to WW3.