There are lots of non fire based EMS services in the US. Unfortunately for you, the Sunshine state is dominated by fire department EMS. In southeastern Pennsylvania (the suburbs of Philadelphia) most EMS is provided by "Volunteer" ambulance associations or squads, whch are basically staffed by full-time career personel. They usually cover multiple muncicpalities and are big organizations. They are big turnover jobs, and they are constantly hiring, if you are interested.
The associated debate is pretty funny, however. I was in the police business long before most of you guys were alive, and EMS was a haphazard mix of hospitals, funeral homes, VFW posts (yes VFW posts), police and anybody else who could afford a custom Cadillac ambulance. the Seattle stuff is pure propoganda, however. They were also the "safest city" because the FD was teaching everybody CPR. But, the rest of the country didn't march to the same beat, and I pushed around a police wagon hauling sick and injured people for years.
If you want to find some bitterness, check out New York. "The New York City Emergency Medical Service. Established in 1970, to provide comprehensive, state of the art pre-hospital care to the sick and injured citizens of NYC." (from the web site) "Over 2,500 very dedicated men and women, consisting of Emergency Medical Technicians, Paramedics, supervisory personnel, and support and technical staff effectively patrolled the streets and respond to over 3,000 calls for assistance daily. Each year, NYC*EMS responded to over 1.3 million 911 calls for help making NYC*EMS the largest, and busiest 911 municipal system in the nation if not the world. "
(also from the web site) "Former Mayor Giuliani never liked NYC*EMS and when the Fire Department was having budget problems he wanted a way to bring new funding into FDNY. He felt a forced merger of EMS into FDNY would be the way to solve a lot of FDNY's problems. Former Mayor Giuliani decided that he could use EMS as a money maker in order to save Firefighter
jobs."
You see, in lots of places, like New York, EMS and Fire never wanted to merge. The city wanted it. the firefighters surely did not want it, and EMS did not want it either.
And EMS is the most profitable public safety operation of all, because ambulance fees are routinely paid by insurabnce carriers, medicare and medicade. Lots of fire department managers were happy to take on EMS, at over $350.00 a ride, the FD budgets grew enormously.
EMS user fees, and the justification of having firefighters riding ambulances instead of drinking coffee, along with the considerations posed by America Burning like the one guy suggested is what put ambulances in firehouses. Not some stroke of genius on the part of Seattle or Miami FDs.