"The exercises selected should ... promote strength development for all major muscle groups of the body".
Then progressive resistance is required. Simply adding reps does not increase strength past initial accomodation.
"... create a balance of strength throughout the body ..."
Then drop the isometrics. Isometric exercises only produce strength increases in a limited range of motion close to the joint angle of the isometric exercise. And most of those studies were done with maximal voluntary isometric contraction -- ie pushing as hard as possible against an immobile object. Wall sits do not fit those studies.
"... adapted as necessary to increase or decrease exercise intensity"
Which can't be done with most of these exercises.
"To maximize the metabolic impact of the exercise, time should be sufficient enough to allow for the proper execution of 15 to 20 repetitions (15) of an exercise."
Which further breaks the link with strength.
" Individuals who previously believed that they did not have the time for exercise can now trade total exercise time for total exercise effort and get similar or better health and fitness benefits."
Given that the studies done on high intensity interval training were initially done with elite athletes, I'm not certain it shows that at all.
This is about as scientific as two guys spitballing over beer. It hasn't been tested as a program and the idea that you can achieve any kind of serious strength gain through high repetition circuit training is, frankly, a joke.
If you want to get stronger and improve cardiovascular condition, simple barbell exercises and running or swinging a kettlebell will do it better, for longer.
When I write programs for my trainees, I am apparently equivalently scientific. I too take the general principles I am taught and go through a process of exercise selection, exercise ordering, repetition and set layout, rest period selection and then sprinkle in modifications. I'll be right back, I have a scientific program for figure competitors I need to flog to the Wall Street Journal.
[1] http://journals.lww.com/acsm-healthfitness/Fulltext/2013/050...