Realigning rhymes with:
aligning, aligning, declining, lining, reclining, affining, aligning, assigning, breining, brining, combining, confining, declining, defining, designing, dining, divining, fining, lining, mining, opining, pining, reassigning, reclining, redefining, redesigning, refining, resigning, shining, signing, twining, vanhyning, vining, whining, wining
Realigning sounds like:
realizing, relaxing, releasing, religion's, religions, relishing, rollicking