Your routine doesn't make sense because you are a novice. A novice is defined by someone who is so far from their potential that they will literally adapt to anything. Don't take offense to being called a novice, because it isn't meant as an insult.
And the reason your routine doesn't make sense is because you are literally so weak everything but the core lifts is unnecessary. By doing the core lifts and the core lifts only within a linear progression, you are forcing your body to adapt in such a way that all your recovery resources will be devoted to such adaptation. There are no gaps in this program because they will literally exhaust the anatomical spectrum of loaded full body movements and because they will disrupt homeostasis in such a way that everything else will be, at best, a waste of time and, at worst, counterproductive. Further exercises are unnecessary to further disrupt homeostasis because the variable you will be manipulating (weight on the bar), will be enough to keep the stress that will lead to adaptation. This is what we call the 'novice gains' because adaptation occurs so quickly, on a per workout basis, which translates to progress in strength and muscle mass. It is essential that this period be seized in the most intelligent, efficient manner, lest this newbie gains be wasted. Starting Strength is the most efficient of such methods, developed by a coach who understands the lifts and the phenomena of adaptation better than probably anyone else on the planet. It's fool proof. It's almost algorithm like in its efficiency. Doing anything else will be a disservice to yourself.
Eventually, the newbie gains will fade. A linear progression will not be possible any more, an other types of programming will have to be introduced. Assistance exercises will have to be programmed to break sticking points. But until that happens, SS is the best way to go.
