"I owe you an apology for a remark I have said about you living in a mountain retreat with military hardware. It wasn't right to accuse you of that and I apologize sincerely."
I understand letting off steam and was not offended. Actually, I kinda wished you were right! Living in a mountain retreat sounds rather blissful. :-)
I've been accused of much worse that wasn't true. I've been accused of being a baby killer because I support the Second Amendment. I've been accused of being a cop hater because I want law enforcement officers to abide their oaths. I've been accused of supporting terrorism because I oppose laws that clearly violate the 4th Amendment on their face. Etc. So your accusation was quite tame.
Keep the faith.
Perhaps if you didn't call the cop a "thug" when the cop was investigating a report of a man beating a girl ...