Historically, in civilizations:
- a culture without infrastructure is like a ghost, a soul that wanders through eternity with no body (think Byzantine Empire) 
- infrastructure with no culture is like a machine -- what is that? I'd say something akin to the Soviet Union, but even that had culture itself. Or  the Cultural Revolution could also be seen as an attempt to reorient culture and infrastructure toward a new vision, but - once again, it isn't that it didn't have culture, or a soul - just something radically different than what was before

creating and destroying; flying cars, roc.camera, july.rocks

“Infrastructure with no culture” → Chinese ghost cities? Even when people live there, there’s not much else there: no regional attachment or distinction, etc.