There's a difference between designing streets wide enough to accommodate cars--no windy medieval footpaths that eventually got paved in Phoenix--and forcing businesses and all new housing to provide free parking spaces to drivers. One is taking cars into account, another is forcing them on everyone.
It should be noted, however, that Phoenix is old enough it predates cars and its wide streets and grid layout are for other reasons. Grids are efficient, allowing someone on foot to cover a larger area in a given time period than would otherwise be the case. They also allow for efficient navigation; if you name your streets like DC's or Manhattan's, it's easy to get between any two corners. They also minimize property disputes. Streets were wide to allow wagons and the like to turn around easily and for aesthetic reasons.
That this happened to be useful for cars is an accident.