First and foremost, you need to check yourself and make sure it isn't just you. What I mean is, while you definetly may work in a caustic enironment and for a lousy company, when the issues of low moral and working with "whiners and crybabies" comes up, it's always best to do some self-evaluation and make sure you aren't the problem. This certainly may not apply to you and probably doesn't, it's just more of a general statement; I always love it when people complain non-stop about where they work, no matter what, or where they're working; because it's never their fault...
With that out of the way, take an honest look at what your options are.
Right now you are an EMT; with few exceptions, that's not a job to make a career out of. If you want to remain in EMS, you really need to be a paramedic. I don't know what your financial/living situation is like, but I'd strongly suggest you start looking into the local paramedic schools and starting down that path. If the local ones won't work, it leads to the next option:
Move. You've said you work in LA. That's a :censored::censored::censored::censored:ty area for EMS. Especially non-fire based EMS. So...move. Again, I don't know what your situation is outside work, but this would probably be the best fix; there are lot's and lot's of places that are well run and pay well (and aren't fire-based); they just aren't in your current location. And since the job won't be coming to you, if this is the career that you want, you better be willing to go to it. Of course, most of those places want paramedics, not EMT's, so you've got some work to do. Again, most people that complain non-stop about what they do and what they make are the ones who aren't willing to go to a better place, or don't have the ability to get hired by a better place. Don't let that be you.
You need to better understand what EMS is like; while there are true-tiered services out there, most aren't, so even as a paramedic you will be seeing plenty of "low speed high drag" patients. That is just an aspect of how EMS, and healthcare is run in the US. If you can't come to terms with that, or find some satisfaction in caring for and interacting with the non-emergent patients, this may not be something that is for you in the end. Even at the CCT level, even as a paramedic, and especially as an EMT, "critical care"...often isn't. As with 911, you'll still have patient's that will require all you skill and knowledge, but a lot won't; an intubated MI patient going to the cath lab is the same as what you'll have in the field. If you can find satisfaction in that and the times when more skill is needed, great, if not...well...
Working in EMS can be, and is a great career. But you'll only get out of it what you are willing to put in. If you are willing to learn what you need, advance as far as you can, and seek out a good department to work for, you'll be set. If not...the odds start to go against you.