Politics often is complex and far from black and white. We should see event in the context from the time event take place.
Even if Russia did send some supplies, Iraq was a client state of Russia for years long before the US invasion and Russia has seen Saudies as the source of terrorism (how many Saudies were among WTC bombers, did US provided weapons and training to the Saudies?). Under Reagan it was USA which supported Saddam Hussein and until now USA was main purchaser of Iraqi oil.
On the other hand Russia (together with Iran) was supporting Northern Alliance the main enemy of Taleban. Northern Allaince defeated Taliban on USA behalf after USA turned against the later.
BTW, if John Walker Lindh lawers were really shrewd they would say that their client was also motivated by American patriotism - at the time when he joined Islamists, the Northern Alliance was the enemy, and Taliban had some US links!