Most martial arts are simply too specific for MMA (Teakwondo for example), and Aikido is certainly one of them. That's why many MMA fighters train in Jiu-Jitsu, it's a grabbag of techniques.
Aikido is great with throws, joint-locks and evasive moves but that's mostly it. There's no emphasis on kicking, punching or holding techniques. An Aikido-practitioner won't choke you out, he or she will break your shit. Bend your joints in ways they shouldn't or straight up break your arm. You can't unleash that in a ring where people go to earn money. No matter how many punches you can take, how many throws you can recover from, a broken wrist will end your fight. And then you're out of a job and training until it's healed for a couple of weeks.
Aikido is not flexible enough to be effective and too damaging once it can be used for full effect.
And it does work in real life, it's just the conditions for success are far narrower than with other, more versatile martial arts. That's why Krav Maga works so well in real life, it just goes to what causes the most effect. So a lot of ballskicking. And punching. And Kneeing. All the balls, all the time.

this kind of fall often results in broken wrists and collar bones, or at least a dislocation. Just skin? lucky!

That's where arts like japanese jiu jitsu, aikido, hapkido and so on come in very handy.

When someone grabs you (AKA offers their hand to you lol), you just bend their hand in a way it's not supposed to bend and they'll be letting go very quickly

The best thing there is that you can apply the right amount of force that is necessary, and gradually increasing if required. If it's someone like this you would apply just enough to begin causing pain and allow them make up their mind. If they don't stop then you keep applying force until either they let go or they end up on the floor with a broken wrist/elbow/shoulder.

The other cool thing about that is, it works on people twice as big as you, because your body weight > the amount of strength anyone's joint has.

A few years ago, I wiped out on my bike. The fall left me with a pretty badly broken wrist. I went into a hospital, showed them my health card and they fixed it. They put me in a cast right away, and 2 months later I was in physiotherapy to recover mobility. I stopped complaining about paying taxes the day the government fixed my arm for free--but I live in Canada where they cover that.

Point is, I was made very aware of the services provided for the tax money I pay out. I don't use ever service all the time, but the value in them is clear to me. I'm sure that principle isn't much different in the states.

I can feel the groin pulls, knee injuries, broken wrists and collarbones just looking at this thing.

at least she wasn't tasered

The difference between a broken wrist and vomitting vs. seizure and heart attack are barely noticable to seasoned thesbians. Hello??!! Life threatening condition. You might want at least ONE person on stage get the person some help.

The are a hell of a lot more people at football games, and they even pause to evaluate injured players. So, I don't buy the whole, people want to be entertained, the show must go on, total crap. Besides, technically, if the show must go on, you want to remove the twitching semi-conscious people from the stage, they are distracting from the performance.