clashing, conflicting, disagreeing, discordant, discrepant, incompatible, incongruous, inconsistent, inconsonant, inharmonious, repugnant

irreconcilableantagonistic, antipodal, antipodean, antithetical, contradictory, contrary, diametric(or diametrical), opposing, opposite

at odds, at variance

accordant, agreeing, compatible, concordant, conformable (to), congruent, congruous, consistent, consonant, correspondent (with or to), harmonious, nonconflicting

akin, like, similar