I didn't see a point, question or reason for writing what you did? Just to share your current program? You are more trained than the average sedentary public who may be obese, anorexic, unhealthy or whatever. BUT you could benefit from advice from pretty much anyone who lifts weights at all.
To be honest this post (if it has a purpose) should be in the beginners section. Your chinup strength is quite good, but I doubt it's textbook stretch-contraction kind of lifting, probably 'kipping pullups', no? An 100lb overhead press makes you a beginner, I am sorry. Even professor ex can do 200lbs and he doesn't even do that movementz lol
I'm glad you're enjoying Berkhan's plan. Berkhan is very lean, I like IF so thanks for that Martin. BUT his training plan (as evidenced here) is not the best at all.
The model of progression is okay. It is sensible for compound lifts, and achievable. Keep pushing(/pulling) hard and you will see some gains, in time. But here are the main problems I see with your plan as outlined:
1) Shoulder work. There is far too little. Overhead press, and some indirect work through Bench press and rows will not do you any good for your shoulder work.
Also, you are doing considerably more work around the shoulder joint that will lead to rounding forward of the shoulders, such as presses (and also chinups will internally rotate your shoulder as that's what the lats do) as well as shrugs, than depression/retraction of the scapulae. For this reason, and the dips (which my shoulders hate) I predict a shoulder injury. You should IMO add in work like rear delt flies, external rotations with a DB, face pulls, more rowing (feeling your mid-back contracting as you do it). Deadlift and chinup day should be your busiest day, not press day.
2) Arm work. There is none. Think about it. You have arms. You should do at least a little training for your arms.
3) Volume. It is far too little work. I am currently dieting, so do less than normal. But even now, I do 3-5 exercises, 6 days a week, for between 1-4 work sets per exercise. I would do more if I was eating to support it.
4) Ab work. You have abs. They are in the middle of your body. They are important. You should consider doing cable pulldowns, hanging leg raises, reverse crunches, twist crunches or all of them. Abs do: trunk flexion, rotation, anti-flexion, and anti-rotation. You are currently training them (with your leg movements) only in the anti-flexion function, if at all.
Berkhan, Rippetoe and others who seem to hate 'isolation' moves have spread some misinformation.
Isolation moves, like the much-hated tricep kickback, are amazing. They are specifically for improving weaknesses, which are unique to each lifter.
With a training plan like you have, you are acting like your shoulders, abs and arms will grow without you asking them to. You are acting like you have no weaknesses, which may be the case, but extremely unlikely.
e.g. I wasn't feeling my triceps during heavier movements, so i started doing lighter high-rep 'pump' sets of tricep kickbacks beforehand, with maximum contraction (no distractions - they are only for triceps). The result: I have better mind-muscle connection to triceps, which benefits my compound presses etc.
All the best