I'm enjoying the smorgasbord of input here.
Sasha hit a nail dead on: transport time. We, including me, (er,I), generally think "urban or suburban EMS" . Think Cherry County, NEB., or Whidbey Island in a winter storm. "Triage of time" steps in, and even Johnny and Roy can't save as many pts if their limited skills and protocols demanding radio contact are tested in hour long reponses.
The primary concept of the EMT-A and the EMT-P was a sound one, especially when considered with the nearly-concurrent creation of the FNP and PA, creating means to extend care beyond first aid and CPR alone, closer to the patient and off the grounds of the hospital. Then employers and willing employees started making all sorts of mutant spinoff "EMT-lings" (I was there, don't kid yourself, we were party to it also) who could each use a different set of tools and protocols.
This system has gotten crumpled up and needs a good ironing-out. Monetary cutbacks may do some of this, but more likely will hurt the higher-cost and the private responders before fire-EMS.
Yes, you can train military medics quickly (or basic EMT's, or maybe even paramedics if you cut back the academic undergrowth), but the longer the transprt and the trickier the case, the greater the likelihood for negative outcome. How about concentrating funding for higher-end responders to areas with longer response times (as well as more PA's FNP's, etc), and expand non-ER resources in short response areas to stop wasting your time on non-emergency calls and trying to find an ER with an open bay?