In addition if Google and Apple builds some backdoor into their products, any regime of any country which Google and Apple operates in will demand to get the same backdoor. How are they going to not give them that, they won't be able to.
I'm sure the Justice Department, and the FBI does not care about foreign implications of their wishes, but their are parts of the American government that has to. It is deeply naive to believe that something like this will fly on the international stage.