Currently, there are many differences between Russia and the USA over different issues, especially NATO expansion.
Russia will remain suspicious of the USA as now it is the single superpower on Earth while Russia is still struggling to be a feared state as it was under Communism and during and the cold War.
While the USA is the most powerful economic and military power, Russia has only pride to keep distant from the USA, not to be swallowed by its culture and corporations.
The US and Russia can get on as long as they keep direct military confrontations aside. However, there relations will remain conflictual as their competition extends to different parts of the world and neither will cede ground to the other. Each will continue to compete to have as many satellite states as possible. That in itself the seeds of growing and lasting tensions between what was once a giant and a current giant struggling not to be minimized in size.