Should I let my students know that I have a secret life?
No. Don't do it. That is a genie that never goes back in the bottle.
People get fired for stupid, misinterpreted shit, every single day. You have no idea how someone else is going to read/interpret one of your posts, and if they decide it is about them, then there is nothing you can do to disabuse them (or a jury) of that notion.
The internet is a big place. Everybody doesn't need to crowd into one corner.