Front hub and fork are the first areas of review. Many front solid axle hubs have a smaller diameter axle, to fit the larger diameter axle of a quick release hub, the fork would need to be modified to accept the axle. All can be done, time, tools and talent.
For the rear wheel, the overall width of many solid axle wheels locknut to locknut face is 120mm, pre built wheels almost universally now are wider. The frame would need to be sprung wider upon every install or frame re spaced.
It can all be done.