Incompatible
Part of speech: adjective
Definition: Of two things: impossible to coexist; not congruous because of differences; irreconcilable; disagreeing.
Example sentence: If Freemasons won't be completely open about their membership, should we not say that in all cases membership is incompatible with public service? Asking public servants to either confirm they are not a member of a masonic organisation or to be open when they are won't fully excise the backroom deals or the stench of privilege.
Antagonistic
Part of speech: adjective
Definition: Contending or acting against; as, antagonistic forces.
Example sentence: Listen, talk, be respectful of people - and make sure that you have openness to where people are coming from. And you don't do anything that is unnecessarily antagonistic, that is only going to make you feel good because you've done it.