I've never heard anyone refer to the moon as 'lunette' in my whole life. I guess this might be where the word originally came from (la lune=moon) and -ette is a common pet form in
France, and when you think about it it kind of makes sense because glasses are round and somewhat look like a 'little moon' but it is never used with that meaning anymore as far as I know.
'lunettes' (glasses) is pronounced exactly the same as 'lunette'. Even worse, 'lunette de WC' means 'toilet seat'.
I guess it doesn't matter when you live in the US, though. I can see how it would sound appealing in theory.
I'd rather see
Lucette or
Luna.