Project Exile Safe Streets and Neighborhoods Act of 2001 - Amends the Violent Crime Control and Law Enforcement Act of 1994 to direct the Attorney General to provide firearms sentencing incentive grants to eligible States that: (1) demonstrate that they have implemented laws requiring that any person who uses or carries a firearm in any violent crime or serious drug trafficking crime be sentenced to not less than five years in prison (without the possibility of parole) in addition to the punishment provided for such crime, or requiring that any person who possesses a firearm, having at least one prior conviction for a violent crime, be sentenced to five years' imprisonment (without the possibility of parole); or (2) can demonstrate that they have in effect an equivalent Federal prosecution agreement; and (3) demonstrate that they have or will implement a public awareness and community support program that seeks to build support for, and warns potential violators of, such firearms sentencing laws; and (4) provide assurances that they will coordinate with Federal prosecutors and Federal law enforcement agencies and will allocate resources to reduce crime in high-crime areas.
Sets forth allowable uses for such grants, including to: (1) support law enforcement agencies, prosecutors, courts, probation officers, correctional officers, the juvenile justice system, the improvement of criminal history records, or case management programs involving the sharing of information about serious offenders; (2) carry out such a public awareness and community support program; and (3) build or expand correctional facilities.