Yeah. In the post-war years, after Europe's industrial infrastructure was demolished and before the emergence of the "emerging economies", America had a huge trade surplus.
I agree that Keynes would push for policies to curb our trade deficit. That, in and of itself, would serve to drive down unemployment. But, as you say, he'd also promote fiscal policy and government spending as stimuli.
I try to remember (and it was something that Keynes was ever-mindful of) that whatever needs to be done must be politically realistic. People vote out of self-interest. They aren't going to fall on their swords for the benefit of future generations. The public won't tolerate a government which promotes short-term pain to the ends of long-term gain. And that's why democracy inevitably ends in suicide.
Globalism promotes world peace. If you're a billionaire and your assets are spread around the globe, you don't want those countries at each others' throats. Of course, if you're Col. Gaddafi in Libya and you aren't going along with the program, you get squished. In that way, globalism trends the world toward uniformity.
On the down-side, American wages suffer from globalism. Employment suffers. And economic sickness in one part of the world can spread to others.
I just try to practice my own version of economic patriotism by buying local food and local products. In other words, I'm not buying any Christmas presents at Amazon.com.