All County Expressways were paid for by property taxes. Bicyclists paid these taxes. Bicyclists pay for these, too, but receive no benefit because adding more lanes for automobiles just increases the exhaust fumes for bicyclists to breathe. Then, there are laws requiring large parking lots which do not benefit bicyclists. Bicyclists pay for these whenever they shop because the merchant must charge a higher price to cover the costs of parking.
Bicyclists also pay for roads in the form of sales taxes.
The plan will force homeowners to further subsidize the automobile, which just increases automobile usage and pollution without any lasting relief in traffic congestion.