Monger,
There is a fundamental difference in training maximum strength and training alactic power in that one is primarily training the nervous system and the other is training nervous system and the power of the alactic energy system. Short-term explosive power is a key component of MMA and it needs to be trained accordingly. DE work would be one example of what could be included on an alactic training day, but you can also include plyometric and shock training work, fight specific drills, etc. on that day as well.
I wouldn't include heavy singles on that day, but a more advanced athlete could use what Verkhoshansky calls the complex method where you perform a series that includes a max effort exercise with a shock training or explosive exercise. This is VERY demanding on the CNS though and should only be used for brief periods of time by more advanced athletes.
Over time the alactic power day will progress into alactic capacity and rest intervals between sets will be shorterened while work intervals are longer, this is how explosive power endurance is developed.
The microcycle sequencing I suggested has to do with hormonal output and CNS but there are a lot of complex physiological reasons to sequence it that way. I have used s similar microcycle with many high level MMA athletes at various points. You would not want to perform the endurance day on wednesday after performing the max effort strength day on monday.
Breaking up training by movement pattern is really just a different way of breaking up by bodypart, it's not much better. The loading in microcycles should be distributed according to specific motor targets that need to be developed and sequenced according to the short-term and cumulative effects of their loading. This is much more complicated than just push/pull or chest, arms, etc. but it is also much more effective.
