For what it's worth I think the importance put on height is primarily a US phenomenon. That's not to say that it's unimportant elsewhere, but not as exceptionally important as in the US. It's one of the factors among many.
It's not only in US. We've had the phrase 'three highs' (三高) in Japan, about height, income, and education, though people openly express this are getting downplayed these days. Not sure how it matters in the dating market.