You have made a major change that will be good for him by moving your office work into his room. This might make taming possible for him meaning his time needed for taming may be starting right now, and last for another year.
Are you becoming too discouraged to continue with this? No one would judge you for it. Or you might need to take a break.
Have you blockaded the parts of the glass/glazing that he might see his reflection (I can't end this sentence with "in")? It's worth doing, it could work magic.
Do you have good enough connectivity and enough income to provide him with a wide screen tuned in to a channel that shows nature in vivid color, like babbling brooks, wind sighing in swaying trees, birds flocking and calling, etc., that change every minute or two, without commercials? I've seen this, maybe they are DVD's. If it were five feet from his cage, he would enjoy it a lot. It has a chance of overcoming the stark stillness that you want to avoid. Even using a smaller TV screen might help. I would try it.
Consider giving him a low level of white noise to reduce the deafening silence of his room. To him it might be like that. White noise can mask unwanted sounds from outside his room. It's available on continuous loop cassette tapes and possibly cd's that play continuously.
Giving him his own room won't help with tameness, but if you decide to settle for him as a show pet, the spaciousness would be good for him, and he will be happier.
Like Rose, I think he would feel more comfortable in your lap if he were under a towel. But until he calms down don't stroke, pet, or pat him during the sessions.
Does he like his new hide? It might take him a while to get familiar with it.
Have you managed to nip his toenails yet? The iguana burrito? Without the sharp nails he will be a bit less agile making it easier for you to catch and control him.
Do you have the knife resistant gloves & sleeves yet? They will make everything easier for both of you.
I know I give lots of tips, so many that you can't do all of them. Even though you no doubt already know, I want to add that your ig sees in the UVA and UVB range. We don't know how much in 'our' visible spectrum that igs can see. It would help him to provide wide spectrum UVA/UVB for him to see with. I looked it up and haven't found any good choices yet. The UVA curing bulbs probably emit just a few narrow bands, and might be too bright for iguanas.