If you don't like Dart, don't use it. Nobody is taking away your AngularJS. Google has a right to promote whatever language it thinks will give it a competitive advantage. You have a right to be revolted by it.
However, the hyperbole surrounding anything that even remotely, several years down the line, may threaten the monopoly of JavaScript on the client side web is ridiculous. Language competition is good - it ultimately will make for a better JavaScript.
Personally, I think there are a lot of people deeply invested in Javascript who fear anything that even remotely, one day in the super future, may threaten their skill set. That's understandable - it's the same way MS developers scoffed at learning Objective-C when the iOS ecosystem blew up and the Windows monopoly didn't matter as much.
Let's inject some reality - Dart is no threat to JavaScript for the foreseeable future. AngularJS is not going anywhere. Dart can't be forced down your throat, because no consumer browser even supports it natively yet. You don't need to use it, you don't even need to think about it. Let the people that like it be.