Uniting rhymes with:
reuniting, benighting, igniting, reigniting, reuniting, benighting, biting, citing, delighting, exciting, fighting, igniting, inciting, indicting, inviting, kiting, lighting, nonbiting, overexciting, overwriting, reciting, reigniting, reuniting, rewriting, sighting, siting, slighting, underwriting, unexciting, uninviting, whiting, writing
Uniting sounds like:
undoing, undying, unending, uniden's, unwinding, unwitting