The $17.8 million program would place low-risk individuals under supervised release.
The health care provider Corizon will not have its contract renewed, sources said.
The New York Civil Liberties Union filed the appeal on Tuesday.
Judge William Garnett heard oral arguments for the release of the testimony, after several delays.
Deputy Inspector Scott Henderson wants to rebuild the bonds between the community and police.
The lawsuit filed Tuesday argues that Muslims are unlawfully monitored.
The 115th Precinct, in Jackson Heights, East Elmhurst and North Corona, stopped 14,585 Latinos in 2011.
Nearly 18,000 people were stopped in the 40th Precinct in 2011, according to NYPD statistics.
The borough's 120th precinct had more stops than both the 122nd and 123rd combined in 2011.
Cops must have "reasonable suspicion" of trespassing before stopping people near certain Bronx buidlings.
Among the cases were brothers wrongly convicted of armed robbery and a girl arrested for doodling.
Mayor Michael Bloomberg slammed the NYCLU Sunday for criticizing the city's stop-and-frisk policy.
A flier calling two activists "professional agitators" was posted at a Harlem precinct.
The NYCLU said a flier posted in the 30th Precinct station house is a safety threat to the protesters.
Despite a dramatic rise in stop-and-frisks during the Bloomberg administration, shootings are the same.
Get our daily New York City news and alerts!
Thank you for signing up!
Would you like to sign up for additional newsletters?
Thank you for signing up for additional newsletters.