This is a dumb idea if you want to actually take your flight in this situation instead of spending hours discussing privacy with TSA agents. But I also wonder what is it that they expect to find during these searches. In the world where I can transfer my criminal activity data through the likes of Dropbox (in encrypted form, of course), why would I have it on my phone or a laptop? What's the goal here?
Missing a flight would probably waste less time than rotating passwords/keys for every service I’m logged into on my phone.