As someone who's studied Use of Force Theory, this argument is way off.

First of all, you don't go from "Verbal Commands" to "Very Hard Physical Control" when your subject is pretty passively resistant. You also take a number of other factors into account (For instance, the fact that this is a fully-armed 200lb cop violently tackling someone who looks no more than 120lbs absolutely comes into play here). The correct move is an attempt to grab at an arm/ her waist, and if she starts resisting that, you can bring her to the ground and apply the bracelets.

Secondly, you keep calling her a "criminal", and justify the officer's actions by stating that she was treated like "any other criminal". I seriously hope that this is not the case with that police department, your police department, or my police department. One is not a "criminal" until they've been convicted in a court. He walked on the scene having heard somewhere that this woman was drunk. He saw her hit her mother - reason unknown. We're still not at the level where we're going to be bringing this level of force to bear. If I miss a police officer's order and then get tackled from behind like that, you bet he's going to have some pretty intense lawsuits coming his way pretty quickly, as well as brutality complaints to the department (yeah, they don't do too much, but officers who accrue too many of these complaints don't make rank).

Also, if the girl was "drunk" (according to an on-sceen witness, so reliable), who knows if she was actually just drunk, or on something else. People die when they are handled inappropriately under those circumstances (it is called positional asphyxia).

Another point you make is that the girl's mother didn't seem to care about what happened to her daughter. Her daughter just hit her in the face! I'd be pretty mad too, and probably do a fist pump in her situation. However, cops are supposed to have this thing called "training", which is supposed to prevent them from pulling stunts like this. You also mention that this girl got off with no more than "a scrape and a bruise or two". She was certainly lucky. We've seen at least one case on the front page recently about the Seattle cop who tackled a young man into a wall in almost a mirror image of this "arrest". The kid is not expected to wake up from the coma he's in. In addition, I know at least one person who was tackled like this, his shoulder was dislocated and he was denied medical attention for two days. His arm has still not healed. I know that this last point is anecdotal, but I'm just trying to further illustrate the risk that was assumed - to the girl's health and to the officer's career - when the officer tackled the girl like that.

The teenage boy who was put into a coma in Seattle brings me to my last point. That we wouldn't care if the victim of brutality was male. You're speaking in absolute terms here, which is quite silly, but on Reddit alone, we see instances of brutality targeted at males hit the front page weekly, if not daily. I don't have sources handy, but there was the kid who was placed in cuffs and put into the back of a cruiser and then shot. There have also been several articles recently describing pretty horrendous beatings that male victims have taken on camera. I'm not saying that men have it rough because cops beat them, I'm saying you see pretty good coverage regardless of sex. Hell, search it up on youtube, you'll find a pretty good selection of videos of both sexes being abused. Claiming sexism in this instance is some repugnant shit, man.

In summary: The officer escalated the physical engagement far too quickly against a suspected criminal, endangering both her health and his career, at very little provocation.