LTSS BTWN AN ACR MLG AND MIL MTR N OF PHX.

Narrative

FLT PHX-ABQ ON CLBOUT (NORMALLY A PAYSO 6 DEP) AFTER TURNING N ON SRP 030 DEG RADIAL A HDOF TO ABQ CTL WAS GIVEN. ABQ GAVE US J18 TO SJN CREST OF RTE UNCHANGED). PASSING FL200 WITH 2800 FT CLB ON IVSI; CENTER TOLD US TO LEVEL TO FL200 (EVEN THOUGH WE WERE CLRED TO HIGHER ALT FL280). I PUSHED OVER ACFT AND LEVELED AT FL203 AND TOLD CENTER. WE THEN GOT TCASII AURAL WARNING; 'TFC; TFC'; FOLLOWED BY 'CLB XING CLB'. CENTER TOLD US TO CLB TO FL210 SINCE WE WERE PAST FL200. HE SAID WE HAD TFC 1 NM DSNDING RAPIDLY. HE LATER ADVISED US THAT WE WERE CLR AND TCASII ALSO ADVISED US 'CLR OF CONFLICT'. CENTER TOLD US THAT THE AIR FORCE HAD ALLOWED AN MTR TO FLY INTO THE NORTHERN MOA PRIOR TO ADVISING ABQ CENTER. THE MTR MAY HAVE TAKEN OTHER ACTION TO AVOID US BASED ON VISUAL SIGHTING AND CTLR ADVISORIES. WE NEVER SAW THE MTR AND THE ENTIRE ACTION LASTED APPROX 30 SECONDS OR PUSHOVER/TCASII ADVISORIES/ATC ADVISORIES/VISUAL LOOKOUTS/CLB. CENTER GAVE US A TELEPHONE NUMBER TO CALL AND ADVISED THE CAPT THE MTR/AIR FORCE CTLR HAD MADE A MISTAKE AND WE WERE EXACTLY WHERE WE WERE CLRED TO AND SHOULD HAVE BEEN.