That's a lot easier than working on vacation abroad. Any tax professionals want to chime in on tax and work visa requirements if you bill hours abroad (I'm assuming in Yehoshua's case there isn't much of an issue, but in your and my case, there may be an issue)?
Some states may even consider that you are working in the state you are telecommuting to (NY, NJ and PA all do )
NJ made it famous with the Telebright case.
Israel, makes it a bit simpler with Olim, not sure of the exact details. "Tourists" never bother with a work permit...
The US will tax you on your worldwide Income regardless until you dump your citizenship