No true BH would ever be hostile towards any Military or Police (okay, let's overlook the ridiculous NPC requests for Fleet Admirals). If ever that occurs then I advise you make contact with their superiors, should they be acting alone then alone they will remain. As for being of Liberty, BH are generally of no specific House. As for myself, I am neutral to all Houses and as such have no concern for the relations between them (except for obeying any resulting restrictions, such as an embargo).