You don't need to ignore products of American companies to ignore the American
government. I'm sure Google or facebook won't stop refusing service to Sweden, no matter what happens in politics. Physical products will still be available through other countries, if you really need them. Of course other products will be probably easier to acquire, hence the boon to friendlier economies.
Furthermore, if countries start doing this en mass, like I'm suggesting they should, one of two things would happen:
1) Companies would move their Corporate HQs outside of the US. Most already have significant resource outside the US (like for instance, their factories..).
2) or, Enough lobbying pressure would be put on the government that the bully-tactic legislation would stop. If other nations stop responding the way that American corporate lobby groups want them to, they will have to change their tactics or suffocate.
"America's entertainment industries are the biggest in the world."
Well that's kind of the point of this discussion isn't it? Just let your people download what they want, and give the US the finger.