>Can the US police arrest you to visit just the web page and search on it?
I'm going to sound like a paranoid nut (and I can assure you I'm not), but the reality is, if you get a target on your back the "US police" will find a way to arrest you[1].
This is the scary thing about mass data collection; they can concoct any story they want from the breadcrumbs of personal data.
[1] a fun documentary about someone getting railroaded when the police needed a suspect: http://www.pbs.org/wgbh/pages/frontline/anthrax-files/