Deukmejian rhymes with:
pelagian, boyajian, carolingian, demirjian, fijian, kazanjian, kurkjian, manoogian, pelagian, phrygian, sahagian, stygian, tashjian, theologian, yemenidjian
Deukmejian sounds like:
decommission, deconcini, dickensian, dickenson, dickinson, dissension