MIL TRANSPORT HAD NMAC WITH SMA.

Narrative

WE WERE 6 MI N OF GLENVIEW NAS ON THE 002 DEG RADIAL AT 2000 FT ON FINAL APCH FOR RWY 17. OTHER ACFT PASSED IN FRONT APPROX 500 FT HORIZ. OTHER PLANE WAS A SINGLE ENG (LOW WING); WHITE WITH BLUE TRIM. NEITHER ACFT MADE ANY EVASIVE ACTION AND I DO NOT BELIEVE THE OTHER ACFT EVER SAW US. WE HAD JUST BEEN CLRED FOR A VISUAL APCH TO NAS GLENVIEW AND SWITCHED TO TWR FREQ. NEITHER APCH NOR THE TWR NOTIFIED US OF THE PRESENCE OF THE OTHER ACFT. UPON LNDG AND SPEAKING WITH NAS GLENVIEW TWR; WE DETERMINED THE OTHER ACFT HAD NOT CHKED IN WITH THEM AND THEY WERE NOT AWARE OF HIS PRESENCE. SINCE WE WERE JUST OUTSIDE OF THE ATA THAT DID NOT SURPRISE US. WE WERE NEVER TOLD BY CHICAGO ATC OF THE OTHER ACFT. AS A CORRECTIVE ACTION I WOULD RECOMMEND THAT CHICAGO APCH NOT SWITCH ARRIVING ACFT TO TWR FREQ UNTIL INSIDE THE ATA UNLESS ABSOLUTELY CERTAIN OF NO TFC CONFLICTS. THE OTHER ACFT WAS FLYING EBOUND AT THE SAME ALT (2000 FT) AND PASSED PERPENDICULAR TO OUR FLT PATH. OTHER POSSIBLE CORRECTIVE ACTION WOULD BE TO ALWAYS FLY AN INST APCH INTO THE BUSY CHICAGO TCA.