Bonobo females maintain their matriarchy through their promiscuity and through the formation of female coalitions.
The promiscuity serves two purposes: 1) it keeps the males tired and happy and uninterested in dominating the society (why would they if they're all getting all the sex that males of most other species have to ruthlessly compete for?); and 2) it makes it impossible for any male to know which offspring is his, so he will tolerate them all.
Bonobo males do compete with each other sexually, but not through violence. They compete through sperm competition (huge sperm counts).
Uncertainty of paternity has benefits and costs. As I noted, it prevents competitive infanticide by rival males--something seen in numerous (perhaps most) sexually dimorphic species. Unfortunately, it also means that there is no paternal investment in offspring. As I said in the video, bonobo males do not care for or provide for the juveniles, or for the females. After a successful hunt, a bonobo male will sometimes offer a female some meat in return for immediate sex, with no promise of future provision--basically prostitution in its most overt form. More often, females trade sex with males for foraging rights to good patches of ground--in other words, not for food, but for the opportunity to get food for herself.
The formation of female coalitions is absolutely necessary to maintain the matriarchy--if the females were unable to inflict those "blood-drawing injuries" they would be unable to dominate the society. I find it bizarre that you describe a system where a group will gang up and inflict injuries on an individual as "peaceful", but whatever.
I also think it's bizarre that you missed the entire point of why I brought up the bonobos, our closest primate relatives. Paternal investment on an individual level (monogamy), combined with collective living and sexual egalitarianism (living in groups where all or most members are allowed to reproduce) has been posited by biologists and anthropologists to have provided the safe, secure conditions necessary for advanced neotenization.
Neotenization is what slows down a species' juvenile development, extending the periods between when developmental genes turn on and then off again, which prolongs different periods of development and extends deadlines. This prolongation includes periods of brain development, dontcha know.
What extending those periods does is allow more time, calories and stimulation to contribute to the formation of advanced brain structures that exist in humans, but are truncated in bonobos and other primates compared to our own. If the gene for development of the certain parts of the brain shuts off significantly earlier in bonobos than in humans, there is simply less time for bonobos to build their brains.
The safety of numbers, the cooperation of the collective, the egalitarian nature of "everybody gets to pair up, if they can mange it", and the investment of provisioning and protection of offspring by individual males provided by monogamy and certainty of paternity, is what provided a safer, more secure and plentiful environment for humans than for the endangered bonobo. That is what allowed our ancestors to not have to rush to independent adulthood, to decelerate their juvenile development over time, and become the most intelligent species on earth.
I find it really interesting that you somehow thought I didn't know that bonobos are matriarchal, or got the impression I was arguing that they weren't. My position is not that bonobo society is not matriarchal. My position is that it IS matriarchal, and that its form of social organization is precisely why they aren't as smart as we are.
If you're going to debate me, you should probably choose a point I actually made, instead of beating a straw man and only succeeding in supporting my assertion.
TL;DR: Yes, bonobos are a matriarchal slut culture. That's exactly why their greatest advancement is crude tool use like picking grubs out of rotten trees with sticks, and why THEY aren't the ones who came to dominate the planet, invent the wheel, live in houses, and split the atom.
