Kwarazmian Cavalry is an excellent choice for an Almohad player.
According to the charts by Brushface and Frogbeastegg, the Almohads cannot make Kwarazmian cavalry. Their charts have had errors before, is this using MTW/VI?

I think a viable alternative, though it requires a lot of conquest, is getting a province that produces Armenian Heavy Cavalry, or get Moldavia and produce Avar Nobles. Otherwise, the best cavalry that the Almohads can produce are Faris, that lose effectiveness as the years go on, or Ghalums, that are not a good buy for the money.