Russians clearly perceive America's global influence as being in irreversible decline and American society shattered by major political, economic and ideological crises.
Regimes like the one in Russia are stabilized by the fact that they have no ideology. There is really no ideological means to attack them.
A more stable relationship between Poland and Russia based on reconciliation might revive the reunification of Europe.
The United States and Russia probably do not have common aims and dreams, but they have common worries: Both Washington and Moscow are concerned about the rise of China and are threatened by the rise of radical Islam.
America is militarily overstretched, politically polarized and financially indebted.
For the Kremlin, it is more feasible to preserve its great-power status in cooperation with the United States than in confrontation.