Wheels are possible on the molecular level — bacterial flagella are rotating cores inside a molecular motor, but wheels larger than this have not really been found.
A single animal with a wheel is an improbable* development that would require a single animal have two separable parts (axle/wheel and body).
[*read as: pretty much impossible]
It's hard to imagine how such a thing could evolve. A wheel and axle would need to be made of living tissue, otherwise it would be vulnerable to wear and tear. Wheels also have problems going over uneven terrain, which is really all terrain animals live in. It's difficult to imagine what sort of selection conditions would be strong enough to push animals away from legs.
If you include driver-vehicle symbionts where the 'wheel' is actually two animals, then they have evolved. Parasites have all sorts of symbiotic control. The Jewel Wasp is one which is the most suggestive of what you may be thinking. The wasp stings its victim (a cockroach) in the thorax to immobilize the animal and then again just behind its head. After this, the wasp can ride the beetle, steering it by holding its anntennae back to its nest where the roach is immobilized to feed the wasp larvae there.
(see section "Pet cockaroaches" in this reference.)
As to the three schools you added to the question, I would probably rather say I felt there were two strong arguments against. The first is whether there is an evolutionary path to wheels, which I doubt (argument 1 in your question). I really don't think there is. Given enough time you will not see a naked human being able to fly on their own power — too many structural characteristics of the body plan have been made to all be reversed so that wings or other means of aerial conveyance will show up.
Argument 3, which I also tend to agree with, is perhaps more convincing. By the time a pair of animals makes a symbiotic relationship to do this, or a single macroscopic animal evolves wheels, they will literally grow legs and walk away. When life came onto the land this happened, and since then it's happened several times. It's sort of like saying that water might cooperate to run a stream uphill. There's just such a strong path downwards, that the statistical chances of you seeing it happen are nil.
This is a hypothetical case, but arguing this in a convincing way I think you would need to lay out: a) an environment whose conditions created enough of a selective advantage for wheels to evolve faster than legs or other similar adaptations we already see. Perhaps based on the energy efficiency of wheels; b) some sort of physiological model for the wheels that convey a reasonable lifestyle for the wheel.
There seem to be lots of questions like "the symbiotic wheel would be spinning constantly and if it died the driver creature would be completely defenseless"; "if the ground were bumpy, all these things would get eaten"; "the wheel symbiont — how would it eat? Only fed by the driver? Even symbionts such as barnacles or lampreys on the flanks of sharks still have their own ability to feed."
A similar question — why are all the flying animals and fish and plants even more similar to airplanes than helicopters? Same sort of discussion ensues.
I see a lot of disadvantages and not a lot of advantages.
Sorry if I seem stubborn, but when I was a grad student I actually did think about this, so I'm familiar with the issues somewhat.
UPDATE: First Gear found in a Living Creature.
A european plant hopper insect with one of the largest accelerations known in biology has been found to have gears! (There's a movie on the article page.
The little bug has gears in its exoskeleton that synchronize its two jumping legs. Once again selection suprises.
The gears themselves are an oddity. With gear teeth shaped like
cresting waves, they look nothing like what you'd find in your car or
in a fancy watch. There could be two
reasons for this. Through a mathematical oddity, there is a limitless
number of ways to design intermeshing gears. So, either nature evolved
one solution at random, or, as Gregory Sutton, coauthor of the paper
and insect researcher at the University of Bristol, suspects, the
shape of the issus's gear is particularly apt for the job it does.
It's built for "high precision and speed in one direction," he says.
The gears do not rotate 360 degrees, but appear on the surface of two joints to synchronize them as they wind up like a circular spring. The gear itself is not living tissue, so the issus solves the problem of regenerating the gear by growing a new set when it molts (i.e. gears that continually regenerate and heal are still unknown). It also does not keep its gears throughout its lifecycle. So the arguments here still stand, pretty much.