I'm an EMT. Generally, the job is not very sexy. Yesterday I cut someone's clothes off, but they were screaming in pain and trying to breath, so I doubt they really noticed. I got bled and puked on.
It is a really rewarding job, though, and I totally get why some people have a thing for medics. I think the number one reason is that we are trained to take charge of pretty hairy situations, and I think that strength and confidence is exciting to alot of people, especially those with a submissive side. And of course, for anyone who loves medfet, we have access to needles, IVs, restraints, steths, and all kinds of other fun stuff. (Disclaimer: I have never, ever, done anything inappropriate to a patient, and never will). We also have the added bonus of appealing to anyone with a uniform fetish. I've never seen a medic in scrubs, though.
I think women are more into EMTs than men. In my experience, I seem to attract straight-seeming teenage girls and young nurses. Since I'm straight, and not the least bit butch, I found this really weird. Despite the uniform, I'm obviously a chick; I have long hair, and a big butt, and boobs. Yet I was getting hit on by young women. I spoke to an older colleague, also female, about it, and she said it happened to her alot too, and to several other female EMTs. She said that some young girls are attracted to stronger-seeming older women, and that we seem "safer" than the guys.