The California Supreme Court in January (shocking if you ask me) already ruled that at least in California, the search of a cellular phone incident to arrest did not require a warrant. According to the majority opinion, they fall under the closed container rule that allows an officer to further search a closed container of an in custody person.

http://redtape.msnbc.com/2011/01/cou...t-warrant.html

http://www.pcmag.com/article2/0,2817,2375237,00.asp

Don't worry, you're cell phone is still safe in Ohio.