Autoloaders are precisely engineered to manage feed and flow of cartridges in and out of the chamber automatically. Changing one parameter such as the caliber cause all sorts of issues--e.g. springs, loading ramp, extraction, bolt impulse speed, etc. To fix all of these issues and to have a reliable gun requires time which you are paying for at expert rates if you have a gunsmith even willing to take on the project.
I have no idea whether you are an experienced hobbyist, precision machinist, tool and die maker, etc. and able to take on the job yourself.
Nevertheless, please consider the following as totally unsolicited advice. To get some idea of what is involved, I would suggest getting the Shotgun New's Gunsmithing Projects book or reading Reid Coffeld's or Steve Matthews' columns on project guns in the Shotgun News (which is where the Projects book comes from). Reid or Steve might have done some weird oddball cartridge conversion of the M1 in the past. However, the current value of a M1 Military carbine, even in parts, makes such a project costly as well as the extensive modifications needed will make such parts and altered rifle worthless for most other purposes. Unless you can make your own barrels to spec, it will probably be inaccurate as well. Reading Reid's and Steve's gunsmithing columns will give you some appreciation of the difficulty in what you are proposing. You might shoot them a letter to determine if it has been done and if it is even possible at a reasonable cost. Even converting a worn out military bolt action to fire .22LR in single shot is an extensive modification (which is why I read Shotgun News and bought this book in the first place).
I apologize if you are a mechanical genius with an extensively equipped shop or if you have the money and access to it. I tend to rescue dogs and cats as well as butchered mil-surps in LGS. It takes a lot more time and expense to restore what was lost than to have altered it in the first place.
If you are going to do this, I would suggest getting one of the Plainfield/Iver Johnson/even Auto Ordinance carbines to experiment with. Remember, a military M1 Carbine will only go up in value quite a bit over time (even as parts) while some of the commercialized derivatives will not.