They have these in some states. They are called anesthesiology assistants (AA's.)
Here is some info on them - it looks like there are only seven programs nationwide. The Ultimate Anesthesiologist Assistant Educational site, for the Anesthesia Assistant, Anesthesiologist Assistants!
Some MD anesthesiologists claim to prefer these because they are trained in the "medical model" and, in no way by any type of legislation practice independently, which keeps them firmly under their thumb and out of the running as far as competition. Some MDAs also advocate for training PAs in anesthesiology for the same reason.
I have never met an AA (I don't think my state uses them at all) so I don't know if they are any good, but at first glance, I wouldn't want a non-medical person with a couple extra years of grad school administering my anesthesia. However, I could potentially be swayed if I knew more about them.
Nearly all CRNAs that I know or those that I have known that have made it into a CRNA program have been stellar nurses even if they have only had a few years of practice under their belt (I have only met one that IMO didn't think should have been admitted ... didn't even have a whole year in, very green, but very book smart and I am sure she rocked her GPA/GRE/interview, which is why she got in.)
I would honestly rather have even a relatively new CRNA provide my anesthesia as opposed to an MDA, any day of the week. All the MDAs I know are pretty sloppy, "cowboy" sort of practitioners - not exactly the type that you want to very carefully administer medications that might kill you. ICU nurses turned CRNAs are used to administering dangerous IV gtts and monitoring patients all the time, are usually supremely detail oriented, and pretty anal retentive. IMO, pushing drugs and monitoring patients (a big part of what CRNAs do, every day, all day) is totally, completely, exactly what a nurse does. Doctors don't really do that, at least not as a part of their core training.
Does anyone know if any MDs from other states had such an uprising after this type of legislation was passed in other states, or is CO trying to set a precedent here? I am pretty sure this is already a lost battle for them, but it would be interesting to know if anyone had attempted this.