Let's guess who's the number one Trek fan here: One of the kids? Mom? Dad?
The answer's probably Dad, of course, because who else could command such a thing? Dad is BOSS of the family and whatever whims or fancies strike him become the reality for the rest of the family. If that be Trek costumes for all, so be it. Perhaps you could only be so lucky. Bible Thumpin' Dad's are usually super fun!
These folks seem mostly happy. Mom seems a bit chagrined, but alas, such is the curse of telepathy. If it makes you happy, go for it. If you have to go along because it makes others happy, that's a choice you have to make.