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A US withdrawl from Nato is probably due to an awareness on the part of the US People that wars and conflicts are less likely to happen if contries go straight, and don't continue to purchase arms as if they were preparing to go to full-scale war.
The US also know that Europe is going bust and is bound to scale down big-time on arms spending, following Britain's example. I believe that President Obama is on the right track if the USA pulls out of Nato.
As for prominent eurocrats in Europe not wanting anyone to pull out of the eurozone, it's because they preached it so much, and introduced it, and it all failed, so they know that they too will lose their post.
All they are defending is their own facade, the great fallimentary monster they built, and their own reputation, by trying to make believe that "the eurozone must not fall or else..."
Or else what? They'll simply lose their job, that's all, their reputation they have already lost.
If the EU (not just the eurozone) does not come to an end now, it will do so in the future, after further prolongued agony.
Then Prosperity can start!