What an interesting question.
We’re all tamei.
On the other hand טומאה הותרה בציבור
I’m guessing when we get it back there’ll be someone around who’s not on imamother who will let us know 🙂
I don't know about lighting the menorah but communal korbanos can be brought even if we all are tamei. Problem is we need to know where the exact spot on har habayit the mizbeach was. Some claim to have figured out the exact spot.
