NMAC BTWN OPPOSITE DIRECTION SMA'S.

Narrative

PRACTICE ILS APCHS RWY 4 RACINE. FILED IFR -- VECTORING ALT OF 2600 FT JUST BELOW CLOUD BASES. SAFETY PLT ON BOARD. PLT UNDER HOOD. AFTER 2 APCHS WE REQUESTED PARTIAL PANEL APCH ON OUR OWN; VFR AT 2000 FT MSL. MKE TERMINATED RADAR COVERAGE ON PROC TURN INBOUND. BROADCAST POS ON UNICOM FREQ. SAFETY PLT DID NOT SEE OTHER ACFT UNTIL IT WAS TOO LATE TO MANEUVER. OTHER ACFT APPEARED TO BE TRACKING LOC CTRLINE OUTBOUND. SAFETY PLT WAS SCANNING BUT DIDN'T SEE WHITE PLANE (SMALL TRAINER) AGAINST CLOUD BACKGROUND. RECOMMENDATIONS: OUR STROBE LIGHT WAS ON; BUT WE NORMALLY TURN OUR LNDG LIGHT ON INSIDE THE OM AND TURN IT OFF AFTER REACHING ASSIGNED ALT ON MISSED APCH. WE WERE ABOUT TO TURN IT ON AT THE TIME OF CONFLICT. KEEPING IT ON ALL THE TIME COULD HAVE HELPED. FAA HAS REQUIRED CONTACT WITH THE MKE APCH WHEN PRACTICING ILS APCHS BECAUSE OF INCIDENTS SUCH AS THIS. IT WOULD HAVE BEEN MOST HELPFUL IF APCH HADN'T TERMINATED RADAR COVERAGE. NO ONE SHOULD BE FLYING THE ILS OUTBOUND AT APCH ALTS WITHOUT HAVING ALL LIGHTS LIT AND/OR RADAR COVERAGE PLUS RADIO CONTACT WITH APCH OR UNICOM. THE OTHER ACFT DID NOT APPEAR TO TAKE EVASIVE ACTION AND PROBABLY DIDN'T SEE US.