Oh I'm so sorry that the vet made the decision that they did, because it was definitely the wrong one, as that fracture is very displaced...Was this an open fracture, as in the fractured bone came through the skin or cut the skin? And what was the vet's reasoning for not reducing and setting the bone? Was it as displaced when he first did it and saw the vet as it is now? Or has it actually gotten more and more displaced over the 2 months of not having it set and immobilized?
It's awesome that the vet chose not to amputate and wanted to try to save the toe, and I'm very happy that he is feeling fine, eating well, and is active, as he could have easily developed a severe infection with that wound over top of a fracture. However, he would probably have been better off had she amputated the toe, as he could get along just fine without it, he would have been perfectly normal in his mobility without the toe, but now because the vet did not reduce and set the fracture, the toe has healed in a very misaligned position that may really become a hindrance to him walking, climbing, etc. Is it causing him problems in the position it's in now? Is it flexible at the joint where it attaches to the foot?
Depending on where the fracture is within his toe, a certified reptile vet with orthopedic experience may be able to numb him up very well and attempt to get it aligned, then splint it. But splinting it in the position it's in now will only reinforce it healing in that position. You'd have to get the toe aligned before splinting it, and not only could that be extremely painful, you could actually stress it too much and cause it to separate again (although it looks like it's completely displaced if it's frozen in that position).
After 2 months of healing, I would assume that the fracture is already pretty much healed, but again it looks like it's completely displaced and misaligned. Basically an experienced certified reptile vet with orthopedic experience would have to take a new x-ray to see where the fracture is, and to see what position it has healed in. They may be able to do a nerve block and attempt to get the fractured bone realigned (an experienced reptile vet with lots of bearded dragon time will know the proper placement of the toe bones) and then splint it, but after 2 months I'm guessing that in order to get the bone realigned it would need to be re-fractured by the vet. They'd have to put him under to do that, take a new x-ray to check alignment, re-fracture it, then reduce and properly set the toe, then splint or cast it, depending on how healed the wound over top of the fracture is.
I've seen a lot of beardies, blue tongue skinks, monitors, tegus, iguanas, etc. who have had orthopedic surgery, had hardware put in to properly align fractures and to prevent future arthritis from developing, and that have had everything from plaster casts on closed fractures to hard splints to soft splints on open fractures. So there are a lot of certified reptile vets that are also surgeons and orthopedic specialists. Depending on where you live you might want to do a search for the nearest specialist.
It certainly wouldn't hurt to have him see an orthopedic reptile specialist, have them examine the toe/foot and it's mobility and gauge how debilitating it's current position is to his life, and to take a new x-ray to see what they're dealing with. They would be the one to give you the options.
I just don't think splinting it in the position it's in is going to help at all, and it might actually make it worse. 2 months may be enough time that a little bone like that is actually fully healed, but if not fully healed it is at the very least near healed after 2 months, to the point that it cannot be set now without re-breaking the bone along the fracture line. If it's not inhibiting his walking, running, climbing, his lifestyle then that's a good thing, but it does look like it may be difficult for him to climb on or grip anything normally in the position it's in.
If you want to get the opinion of a reptile orthopedic specialist we can help you find the closest one to you if you give us your town and state. It wouldn't cost much just to get an x-ray, an examination, and their professional opinion, and it actually is a good idea.