Then why don't Putin and Medvedev try helping the US in the Middle East instead of hindering us?
Andy44 already pointed out that an offer was made for a joint use / upgrade of Gabala tracking station in Azerbajan. It has been waived off. Most probably because that station is a big concrete bulding looking South and cannot be turned northwards if one likes so.
Or why don't they propose building their own missile shield in whatever location they think will guard best against a strike on the West from the Middle East?
'cause our ABM technology sucks anyway. There are no treaties so far that would oblige us to protect West from East. In the unlikely case that Iran would fire a nuke at Russia, the resolution of the crisis would be simple: we make Iran a toast. As a good guarantee of keeping the weakening relations with the West, I would like it very much that Russia would have offered a protection guarantees to Israel: after all, a thick percent of Israeli population are the former citizens of USSR and Russia.
Iran is not thought of as a good and trusty ally here; at most a partner in certain aspects, an 'enemy of my enemy', and is generally approached cautiously because we have little interest in obtaining one more enemy out of nothing. But I am sure that in case of an actual Iranian nuke strike at anybody (given that would be a preemptive strike) they won't receive Russian appraisal. At best, they would see our turning back. Hope understanding this stops them from doing so.
Speaking of choosing the best site for the ABM radars and rockets, why don't US military consider this wide choice of countries: Turkey, Iraq, Afghanistan, Pakistan. Iraq and Afghanistan are closer to the point, Turkey might be more comfortable to settle in (and is a trusted NATO member). These rockets are designed to shot down missiles during the powered flight phase, aren't them? Then surely they will get their job done at the shortest possible range and a vista view of the launch site.
Of course, you can argue that the true reason for putting the installations at Poland and Czechia is an opportunity for US service people to hang out with lovely Polish babes or drinking lovely Czech lager... Who knows.
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As far as the new common enemy, what about the 'global war on terror'?
I would like it to happen, surely. When listening to the reports from
Beslan I felt aggrieved and enraged so greatly that I was ready to go tear some terrorist throats. I also felt very sorry and appalled by the 9/11 attack. I think these my feelings are shared by the most of Russians. But the war on terror is rarely something that involves an army action. Nukes are useless against terrorists. The most effective countering is done by secret services and intelligence agencies. US and Russian secret services allied? Hmm, maybe when the devil is blind. Well, you know we have a little problem taming them... You too.
Given the chance to fight drug-running terrorist extremists or Slavs in the Russian sphere of influence, the west decided to attack the Slavs and so further eroded Russian willingness to work cooperatively with the west.
Forget it, this set of the game was lost by our great tennis player. It's now a European headache. I hope Serbia will integrate into EU smoothly.
Chechnya also seems to be a front where Russia sees a threat from terrorism, but the west has no interest in assisting the situation.
Thank goodness for the small mercy: the topic seems to wander away from the title pages of Western media with big Russia blaming headlines. Little people know what happened over there, and how unbearable the pressure was. It is still an aching wound, but at least a dressed one.