Oh yeah, lots of American police want to work this hard; there's probably five or six of them at least. What most police will do instead is arrest the first name on the list. When she or he documents an alibi, they'll arrest the second name on the list. Eventually, some poor bastard who lives in the same state will have gone hiking alone the day of the crime, or stayed home and slept after a week of overtime, or whatever. Unless there is a statistician on the jury, that person is going to prison.