I think that your question will soon be blocked :) There are a few contentions between the two frameworks.
Basically Backbone does not do a lot of things, and that's why I love it : you will have to code a lot, but you will code at the right place. Ember does a lot of things, so you'd better watch what it is doing.
Server discussion is one of the few things that Backbone does, and it does a great job with it. So I would start with Backbone and then give a try to Ember if you are not totally satisfied.
You can also listen to this podcast where Jeremy Ashkenas, creator of Backbone, and Yehuda Katz, member of Ember, have a nice discussion
