And this is why you aren't a military strategist. Russia lack the long-range and sustainable transportation capability needed to conduct a landing on foreign soil. Also, do you have any idea how many US citizens have guns and will use them in the event a foreign entity tries to invade our nation? Our police and coast guard are more heavily armed then many other nation's militaries. Add our armed citizenry and our nation is unassailable.
You say "logically Europe would be first to fall" - actually try logic next time. Logic dictates an in depth analysis from many angles and since you think it will fall I'll play the other side and say it won't. Europe's combined military power is immense. France, the UK, Germany, Sweden, Spain, Italy, the US, even smaller nations such as Lithuania, Latvia and Poland tailor their militiaries specifically towards the Russian threat. Europe is no slouch. They have well armed, funded and experienced militaries that can prove every bit as challenging to Russia as the US. Also, if Europe is in danger of falling they can go nuclear too as France and the UK have nuclear weapons in addition to US weapons hosted on European soil.
"Russian soldiers are just a bit more unorthodox in their tactics" - revisit recent history. The first Chechen war exposed Russian tactics in a bad way. The Second Chechen War still showcased their problems, while the current Ukraine crisis has been no cake-walk for the Russians either. You have never been in the US military, but I have, and if you think we can't do unorthodox you are badly misinformed. The US military is the most adaptable military that the world has to offer. We can fight any war, and where and under any stipulation and come out on top.