OPERROR BTWN ACR X AND MIL Y IN MOA.

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PART 121 FLT FROM DFW TO CRP. ZHU EARLIER CLRED US VIA 174 DEG RADIAL FROM WACO VOR TO WHEN ABLE DIRECT CRP VOR. APPROX 20 MINS LATER ATC ADVISED THAT FOR TFC WE WERE TO TURN 20 DEGS E OR DSND TO 8000 FT FROM 12000 FT. WE RESPONDED TO ON COURSE DOWN TO 8000 FT. ATC ACKNOWLEDGED. WE BEGAN A 500 FPM DSCNT. DURING THIS; ZHU WAS CTLING OTHER ACFT AS WELL AS MIL FLTS. SUDDENLY AS OUR ALT WAS 9500 FT MSL; ATC CALLED 2 TIMES TO A MIL FLT (MIL WAS ON UHF) TO STOP THEIR DSCNT. THEN CALLED OUR FLT TO 'IMMEDIATELY' TURN TO 090 DEG AND RAPID DSCNT TO 8000 FT. WE COMPLIED ASAP. UPON REACHING 8000 FT WE WERE CLRED ON COURSE. WE WERE NOT GIVEN ANY XING RESTR FOR 8000 FT. WE'RE NEAR AN MOA. I BELIEVE TO CTLR REALIZED LATE THAT OUR FLT AND A MIL FLT WOULD BE A CONFLICT. AND ZHU NOT GETTING A TIMELY RESPONSE FROM THE MIL FLT GAVE US THE RESULTING HURRIED CLRNC. WE SAW NO MIL ACFT AND OUR TCASII ISSUED NO RA OR TA. SO WE DON'T KNOW HOW SEVERE THIS WAS. BUT THE CTLR WAS FRANTIC WHEN HE GAVE US THIS EVASIVE ACTION. I BELIEVE CTLR WORKLOAD TO CIVIL AND MIL ACFT ON SEPARATE FREQ WAS CONTRIBUTING.