antithetical

/ˌæn(t)əˈθɛdək(ə)l/

adjective

Directly opposed or contrasted; mutually incompatible.

people whose religious beliefs are antithetical to mine

opposed to,directly opposed to,contrary to,contradictory to,conflicting with,incompatible with,irreconcilable with,inconsistent with,at variance with,at odds with,contrasting with,different from,different to,differing from,divergent from,unlike