It is just the beginning. It then only gets worse. Yeah we have survived, and we will continue to survive but future generations can forget the good life we had, thriving societies, plenty of resources... It will all boil down to basic survival until it's lights out. Don't think of the apocalypse like in The day after tomorrow, it will happen much slowly and gradually.
You make it sound kind of exciting. Maybe my kid is destined to be a vault dweller. Who am I to deny him or her his purpose.
Jokes aside though, I don't think I should be preemptively shielding my children from a future that might not be as splendid as it once was by just not having offspring at all. They'll adapt. They'll have their own opinions and decisions and they'll at least be raised by someone who has the right ideals. Me.
And I don't even particularly care for having kids at all, it's just this reason that sounds so damn ridiculous to me. By all means, if you can't guarantee a safe environment for your child to grow up and become self-sufficient, then refrain from having kids. But I don't see the horizon burning just yet.