Have you never made a deep friendship? How else would anybody make deep friendships? First you do things that let you meet people, then you make acquaintances, then you make setting-specific friends (work friends, gym buddies, etc), then you start inviting/being invited to do things that aren't based around that shared setting, and then you have friendships.
Either that or your definition of deep friendship is substantially off.
Most of my deep friendships were through friends and family. A handful at work/school. And it is the same way for most people I know. But I'm not American, so that's that.