It is in the EU's interests to get on with Russia, and the Russians haven't crossed any important lines that the US hasn't crossed in recent history. The EU would probably benefit from having more Russian involvement in their policy making, they could do a much better job of promoting peace in Europe if they spent more time communicating with major powers in Europe.
Also it's in the EU interest to sanction russia to the bankruptcy, wait for implosion and buy for pennies all available resources.
Doubt it. Appeasing hasn't worked. I don't know what would, but polishing Putin's shoes doesn't help. As for the US, least they have the chance to oust their emperor in three years.
No.
Of course it is in their interest. The problem is that Russia only knows how to bully, oppress, or violently interfere with their neighbors.
You cannot get along with a tiger who only regards you as a meal.