My father is not Greek; me and my half-brother both joined Alpha independent of knowing each other.
My mom is a Delta and was the Queen of the Alpha Court in college.
My cousin is an AKA, her dad is a Sigma, her uncle is a Que.
My uncle is in a Christian fraternity.
I say all that to say nobody in my family cared what anyone else pledged as long as they were happy.
As for me, if I have children, I will just say this: being in an organization is not for everyone. If they want to be an Alpha, it would be really nice.
But I would let them know if they weren't cut out for it.