How to react to Christian appropriation especially Chanukah

Hey all. Jew by choice here from a secular family.

Lived in NYC bubble for years. Nothing prepared me for now living in the Bible belt where I frequently encounter neighbors, colleagues and friends that will excitedly tell me that they celebrate Chanukah too, or they own a shofar, or they own a menorah. It automatically makes me extremely uncomfortable. They are excited to show "solidarity" but it reeks of appropriation..and obviously ignorance as they know nothing about how their guy actually lived and how Judaism today has developed..like come on he was not spinning a dreidel.

How does everyone engage with them? I tried to play everything very very neutral but it's especially uncomfortable with Chanukah which I know for so many ethnic Jews is about victory over assimilation.