Most of the denizens of this forum are American patriots, so we will give little sympathy to any Russian doublecrossing of important American interests, even putting our soldiers in harm's way.
That being said, I will put my objective hat for 30 seconds and pretend I’m a dispassionate observer of the Russian actions in Iraq:
I understand that President Putin was elected by Russians to look after Russian interests, so Putin cannot be blamed for putting Russia first in his political moves.
Nevertheless, supplying weapons and intelligence to a moribund regime of murdering cowards, after the US declared publicly its intention to have regime change, might not have been to the best interest of the Russian people.
These Iraqi thugs were so chicken-livered that they left Babhdad in a hurry, without destroying documents embarrassing to the Russian government.
Now everybody in the world has access to Iraqi documents, weapons, and personnel that will present Russia to the world as a two-faced liar. On one hand, completely aware of the torture chambers, WMDs, and children prisons in Iraq, while publicly defending the Iraqi regime. Or at least, never condemning in strong terms the horrible conditions in which the Iraqi people were forced to live.
In the short term, the new Iraqi government as well the current US government will not feel comfortable dealing with Russia. And in business, people usually eschew potential partners who have been proven to be double-crossers.
It is to the American best interest to have a strong and prosperous Russia, and most of the American people have no animosity toward the Russian people or government (Most Americans like Russians).
It is unfortunate that Putin decided to aid such as despicable and stupid dictator, Hussein, after Putin knew that Hussein’s days were numbers.
Helping Hussein in the last year was political amateurism in its worst. Even the rats jump when ship starts to sink.