I'm curious enough that I'm going to watch that video when I have time...I'll be interested to see how many of my points below are mentioned...
Tricks to a fast mead:
1) don't make it crazy high gravity...think OG's no greater than 1.110.
2) Some yeasts do better turning around quick...Lalvin 71B is a good example.
3) Use proper pitch rate -- we're talking big starters here, and using multiple packets of yeast if using dry yeast. (And properly rehydrate the yeast if using dry yeast...)
4) Oxygenate! Consider a 2nd burst of oxygen about 12 hrs after pitching. If you don't have access to oxygen, at least do something to aerate the crap out of it...think paint stirrer on high speed drill.
5) Staggered Nutrient Additions!
6) Frequent degassing during the first stages of primary.
7) Consider adding some fruit/puree to primary after the fermentation starts to slow down, and then let this finish out before transferring off to secondary to age for a bit.
8) Stabilize the mead when you transfer to secondary, and at the same time, backsweeten to at least a lightly semi-sweet (~ 1.010-1.014 gravity after sweetening) level...you can make it more sweet if you want, but that's my personal desired level of sweetness when I do need some residual sweetness, and even this light sweetness will hide some early off-flavors.
9) If you're not clearing in a couple weeks in secondary, hit it with some finings. I like LiquorQuik 2-stage finings...will clear 99% of meads crystal clear in 24 hrs or less. If you rack carefully to your bottling bucket, you will have perfectly clear, sediment free mead in the bottle.
Note that over half of this has to do with properly managing your fermentation...
Of further mention regarding fermentation...I did forget to add, if you can control your temps, that will go a real long way to reducing off flavors as well, particularly fuesel alcohols. Even if you don't have a fermentation fridge, you can do a "swamp cooler" setup pretty easily (if you're not familiar,a quick search of the board will get you what you need.)
I think with these tips, you could easily have a mead ready in about 2-3 months.