It's never too early to teach your kids about Star Trek! In week 23 fetuses begin to be able to hear. The sounds they hear while in the womb have been shown to calm babies down when they are repeated after they are born. Using this logic, reading to your baby about Star Trek while close to the womb will result in them being comforted by similar readings later on.
Star Trek has a positive message about our species and its future, a rare thing in popular media. Star Trek also teaches kids valuable STEM skills, (Science, Technology, Engineering, Math) which are excellent primers for rewarding and solid careers later on.
There's really no downside! Start in week 23 and live long and prosper.