So now GWBush and company have taken hold of prized former-Soviet republics Ukraine and Georgia they feel strong enough to start fights with Russia herself. See "...George Bush risked a further deterioration in relations with the Russian president, Vladimir Putin,.."
Many see the tightening relationship between the West specifically the US, and nations like Ukraine which involves economic and military cooperation as signs that the US is trying to encircle and gain political advantage over Russia by replacing Russia's regional influence with that of the US.
In return Russia is trying to strengthen its relationships with nearby rising powers India and China to form a rival axis of world power to compete against the West, especially over access to increasingly scarce oil supplies in the near future.
See this article on Proposal of strategic partnership by Chinese premier on visit to India April 2005.
and from 2002,"Delhi-Beijing-Moscow axis: Old romance rekindled"