Don't forget, Putin has met with Dalai Lama even after China protested it. Can you imagine China does the same to Russia by hosting a meeting with rebel Chechen leaders?
Don't be naive that Russia is buddy with China. Were you guys born just yesterday?
To say it nicely, the Russians are WARY of China. If China burns Russia is NOT going to lift a finger to help, as historically shown. In fact if opportunity arise they will rob while they can.
Russia is wary of China yes, but Russia is far more wary of the US.
The long term adversary and threat to Russian security will remain the US even a Trump presidency whether it is one term or two. The institutional foundations of the US security and military stance to Russia in Europe and the Middle East present a far greater threat to Russia than anything China has ever done in the last two decades.
So please, don't patronize us, and try to look at the big picture.
Any suggestions that a Trump presidency could somehow mean Russia and the US will work together "against" China is ignoring the fundamental strategic interests of all three nations and the ways in which they overlap and bump heads with each other.
Putting it simply, during the Cold War the USSR was an existential threat to both China and the US. Only political and ideological differences existed between China and the US at that time in the Cold War, that were broken down to allow the two nations to jointly work against the USSR, but the important prerequisite was that the USSR was the big enemy of both China and the US.
Simply put
"the enemy of my enemy is my friend".
However, now in this day and age, not only is China's relationship with Russia very strong (in fact China is probably the only major power that has maintained a positive and productive relationship with Russia on multiple high levels over the last few years since Russia annexed Crimea), but more importantly China is not a long term existential threat to Russia in the same way that the US is to Russia, even during and after a Trump presidency. This is because no one expects the institutional strategic interests of the US in Europe to waver over the long term, including over the course of a Trump presidency.
For Russia to join the US against China, would mean that China would have to be a threatening, existential enemy of Russia to begin with,
and Russia must also have no meaningful strategic or existential conflict with the US as well for a US-Russian alliance to work.
But neither of those prospects exist or look to exist in the long term future. So any talk of Russia and the US banding together "against" China simply doesn't pass the logic test, unless we make some immensely unlikely predictions, including
Russia suddenly viewing China as a primary existential threat (rather than an ally as they currently are) and including
Russia believing that the US is not interested in threatening their core interests (which would require reversals on economic sanctions, NATO deployments, missile shield, middle east, and countering general Russian influence in Europe, etc).
The more likely scenario is that the US will undergo a mild thawing of relations with Russia under Trump, but not to the detriment of their relationship with China, and certainly not with the prospect of banding together with the US against China.
I write all this not because anyone believes Russia and China are best buddies, but rather because I think we all understand what real politik are, and we all understand the long term interests of the respective nations in question and the requirements for any sort of "two vs one" alignment to occur, which simply doesn't exist and won't look to exist any time soon to support PanAsian's interesting but unlikely suggestion.