Living in Sweden and being very well informed on what the "left" in the U.S. is, I would have to say that their aims are mostly the same. However the short term goals obviously differ with a different political landscape.

Also, in my opinion the left at large in the U.S. is much more prone to reject the concept of free speech and nonviolent approaches for change. Possibly, this could be due to having picked up more modern marxist ideals out of desperation and being at a percieved disadvantage in society.