We're not to Minority Report yet, but we're laying the groundwork: collecting massive data-sets that will someday be used for Bayesian predictive algorithms to determine pre-crime.
While the current population would vehemently reject such a scheme, it's quite feasible that public perception will shift after a particularly shocking crime/terrorism incident which "could have been prevented".
Minority Report is (good) SF, remote precognition seems far-fetched at best (hence the 'F' in SF). Enemy of the State is more of a 'could happen' scenario, it contains no technology that wasn't present when the movie was made afaik.
While the current population would vehemently reject such a scheme, it's quite feasible that public perception will shift after a particularly shocking crime/terrorism incident which "could have been prevented".