Well with humans having a fascination for speed, I think the risks would be the similar and lots of pedestrians would get hit. Of course, you would still need traffic lights, and jumping them would be a criminal offence

. Hospitals would have more specialist skin units to cope with riders crashing and getting road rash!
Taxis would be rickshaws, so I suppose you can imagine Delhi as how the volume of traffic would appear. Only the few fat people would use them.
Sports cars would be sleek lined HPVs and a poor-man's sports car would be a recumbent.
SUVs being for the school run, I'll say we would see lots of MTB tyred triplet, quad and quints to take the kids to school. The tyres will never see a drop of mud, but owners will consider it an important bling factor. For these bikes, drafting solo riders would be prohibited.
I would hope that bike theft be non-existent, or go heavily punished.