However, 52% worry about being hit by a car and 46% say they would be more likely to ride a bicycle if motor vehicles and bicycles were physically separated.
Get accustomed to sharing the roads.
The cycling facilities here in Parts Unknown are the best introduction to vehicular style cycling I could imagine.
introduction to vehicular cycling.jpg
I doubt long established laws that grant cyclist the right to ride on a road would be changed if given a nearby multipurpose path.
Surely you're not serious? In response to the 'bike boom' of the early 1970s, parks and street departments began to build 'bike paths'. Hand in hand with this, local and state governments enacted 'mandatory side path' laws, forcing cyclists onto the little sidewalks they'd built. Within months it was clear the facilities that were built were substandard and more dangerous than the roads, but it still took us decades to get rid of all those mandatory side path laws and ordinances. I was there; I lived it.