If we view them as incompatible then the solution is rather obvious but to the disadvantage of the car traffic. The current cooperation between bike traffic and car traffic is to allow bike traffic without disrupting existing car traffic.

For roads where there is street parking you simply dedicate that for bike lanes and force car owners to use the more expensive parking houses. This influence the commercial flow a bit unless the space between parking houses is minimal in commercial districts.

In proportion to bike ownership you also need to remake roads which are too narrow and make them dedicated bike lanes. The proportionality clause here is really important to balance the interest of both groups if we want to view roads as incompatible to be used by both.