As reasonable as that sounds, I think this would fall into the GP's complained-of category of "making that road significantly slower and worse for cars", and does not meet their ask for "a separated infrastructure grid for pedestrians and bicycles".
You don't need to make every street a bike street. It's enough if there is a way of getting safely close to your destination. Both for cars and bikes. The car drivers can drive on the next street unless this is their destination location. Works just fine in other big cities so it's just a question of getting used to a slightly different road to work/home.
To be clear, I definitely agree with you, I just don't think ThunderSizzle would. So it's ThunderSizzle's ideal that I am confused about, and trying to clarify. I think ThunderSizzle has asked for a (to my imagination) impossible-to-reach standard, and you have provided a very practical compromise, but exactly the sort that they would probably reject as infringing too much on existing car infrastructure.
I said roads, not streets. I've seen high-speed highways that have been modified to add a bike lane to the middle of no where for miles on end.
This is beyond useless, and is very dangerous as your combining high speed vehicle travel with bikes and pedestrians. The typical response is to then convert the road to a street (e.g. lower the speed limit, reduce lanes, etc) instead of moving pedestrian traffic away from roads. The traffic is still there, because it's the only route, but now you've added the occasional brave and stupid bicyclist or pedestrian.
Beyond that, it's more inefficient for pedestrians, because road layouts tend to follow inefficient directions that add unnecessary travel time for pedestrians.
Oh that makes sense. Yes, I keep seeing proposals to add bike lanes to highways and I just think, who wants to ride a bike next to all those high speed vehicles with no shade?
I remain very curious to hear their vision!