I think it would be cool if you could detach the current standing mount they are on to keep the wood, which would then become the mount you would fix to the wall. And create a new medal arm from the wood mount on the wall to the model plan. Giving the feel the planes are free standing but still a solid look with wood mounted to the wall. Then somehow staggering them along the wall. Just a thought as a way to reduce the amount of shelf space you would need. Looks like putting them all on shelves could need a lot of space from their size in proportion to the TV stand in your picture above.

Wood grain floating shelves.

custom floating boxes, per size of plane mounted like above, then have a light directed at the wall.

The first thing I would ask is which orientation for any model plane provides the most dramatic view of the aircraft. When I determined that, I would then look at the GROUP of planes you have and visualize them in the most interesting grouping. When I knew those two things, then the method of wall (or ceiling or floor) attachment could be explored. Generally, it seems to me that the least obvious connection of the plane to whatever is holding it is ideal. That might mean using clear cable (fish line) to suspend them (allowing them to slightly move), or building a custom plexiglass or other plastic armature extending from the wall to the back or side of the plane that is the very difficult to spot from the main frontal view that you'll have of the group of aircraft. If you are planning on having other objects on the wall or suspended from the ceiling (shelves with objects, etc.), you might be able to arrange a wire suspension system between them that could support the planes. Good luck!