As a frequent city cyclist, I take the lane early and often as is my lawful right, signalling unequivocally my intention and impending action to merge into the traffic lane. Most often I use this right when avoiding someone double-parked in the bike lane, or when turning left at an intersection.
I don't think that's accomplished by encouraging equal use of roadways. I think that means space currently designated for cars should be reduced to make way for other modes of transportation.
Accessible cycling is what we need, and that usually means physical separation from cars.
For instance I don't see any particular utility to making infrastructure so that there's enough room for every person to use a motorized wheelchair.
Different conditions demand different solutions.
Replace "Accessible Cycling" with "Accessible form of transport that does not endanger other people not using that form." Whether that's bicycles or wheelchairs or scooters, etc.
The point is that putting them with cars is dangerous.