Citizens are permitted to detain for the police those reasonably believed to be burglars........
Bullsh*t.
The idea of the police in the US is that they are hired to do what citizens have a right to do with regard to criminals, but don't wish to be burdened themselves with doing. Can the police detain someone suspected of being a burglar? If you answer yes, you lose.
LOL, the "idea of the police" isn't relevant, and it's not a statute that allows ordinary citizens to detain other citizens.