I think it is pretty reasonable to say that even for those in the continental US the state of the world in 1942 provided much more cause for concern than anything going on right now. At the very least, for a child born then you would be very unsure what kind of world they would end up growing up in.
True--I don't think things got better in the US until after the Korean War. And even the 60s were marred by Vietnam (far more than the impact of the War on Terror).
My parents were born in Peru in 1941/42. Peru was neutral for much of the war, but in 1942 they began deporting Japanese individuals suspected of Axis sympathies to internment camps in the US. In 1945 Peru entered the war on the Allied side. If the war hadn't ended, I'm pretty sure my dad and his family would have been interned.
And even after the war, the situation was unreal. My dad's uncle didn't believe that Japan had lost the war. He thought it was all just allied propaganda. In 1949 he sold all his possessions and took his family back to Japan--to Okinawa, in fact. When he got there, he saw the truth: the country was smashed to rubble, and he had to beg in the streets for food. My grandfather travelled to Japan, taking my 10 year-old father in tow, to bring the uncle back to Peru.
That's probably one of the tamest, least tragic stories from that time. Even in the US, 400,000 never came home and 600,000 came back wounded. That's a million families affected. Germany, Japan, Russia, France, China, Korea, and even Britain, had far worse stories.
Whatever troubles we have now (and we have plenty), they are not on the same scale as those from that time.