this guy probably kinda sees in slow motion (I experienced it in fights, I'm SURE he can! 
I know what you're talking about, and I definitely think Fedor possess that attribute.
I'll tell you my basic thought on it, without going into elaborate detail. I think you feel the same way.
People are born of different bloodlines: some bloodlines produce fighters; some don't.
Those that are born fighters can receive training to amplify their natural abilities.
For those that weren't born fighters, no amount of training will make them very effective -
because they lack the heart to stay in a fight and keep composure.
The trait of a fighter is 'gameness' - the same trait sought out by breeders of fighting dogs like pitbulls.
Other variables, that I'll call innate attributes are:
-strength
-speed
-reflexes
-body mass
-durability
-calm
-etc.
(These attributes might be possessed by anyone)
An acquired variable/attribute is training:
-grappling
-striking
In addition, we might assign values to each of these attributes, based on their value in relation to each other, and the fighter.
All these attributes increase the fighting ability, but without the fighter trait - or 'gameness',
they are useless, when a person lacking that trait is set up against someone that possesses it.
This is within reason of course: Obviously an incredible size disparity will not be overcome by any amount of ferocity.
Also, there are degrees of gameness, as there are degrees of it in pitbull terriers.
Fedor is a born fighter, with the additional advantage of all fighter attributes - both innate and acquired.
We might assume that, a slight majority of bloodlines produce fighters with some degree of frequency; most cultures have a history of warfare.
That trait is probably being bred out in the 1st world due to natural selection. (Today, earning money is more valuable than knocking people out with coconuts; and in fact, you'll probably end up in jail if you go around punching and killing people). So, I speculate that, a slight majority of people possess a degree of gameness; thus most people can be made fighters of some value. However, that fighter trait is slowing dying out with each generation - and especially in the 1st world.
This is in line with Neitschze's idea that each succession of empires was essentially the assertion of will of one vigorous people upon another formerly vigorous - but now effete race. The
Völkerwanderung being the most obvious example of that.