The workout is not that horrible if you like it and it gets you to the gym. It just ignores (like many trainers do) a proper movement assesment before you begin.
Also the machines are an o.k teaching tool but they usually don't allow the body to function in an integrated fashion and they don't improve balance, coordination and stability
You can take a complete motor moron and put them on a machine and after 1 or 2 sets their form is perfect like they have been doing it all their life.
It all depends on your goals; if they happen to be sports related or are intended to improve movement then you are wasting your time.
You mentioned that you recently lost 60 pounds - that's GREAT!, if you need or wish to lose more, than free weights and some cables are the way to go because the more muscles you use in an exercise, the more calories you burn. I.E. you burn more calories standing and controling a free weight movement than sitting on a machine. Also you use more muscles with free weight and bodyweight exercises so you strengthen and develop more muscles
The first thing I teach people especially women, that if you want to lose fat - GET OFF YOUR ASS!
don't expect gym owners and managers to understand this, they love machines because more machines usually bring in more members - I have been repremanded by my general manager for not giving enough machines to people - but once I explain my position and how that a certain machine would make their injuries worse and the club liable the matter was dropped.
I use very few machines (but lots of adjustable cable columns), and none of my clients complain because I explain and demonstrate how my exercise is superior and they get great workouts
Good Luck!