If you notice, on each Lower Day 1 he does a heavy movement and then does Lower Day 2's heavy as dynamic. Same with Upper Day 1 and 2.
This is a fair enough way to break things up, although you must respect the fact that you are doing 2 heavy and 2 dynamic session (for lower body) in one week. As such, compared to a tradition Westside standard template, you'll want to cut the volume half in each of these (both the max and dynamic movement). For example, instead of 8x3 of dynamic, you might do 4x3.
Consider this a starting point (doing half). If that seems easy after a week, add a set. If it is still easy, add a set. If you get a week that's too hard, go back to the prior weeks sets and see how that treats you.
Also, after you sort out your max/dynamic work, you may find that you need less in the way of supplements. Your max vertical pressing (military pressing) will hit your ant. delts and your triceps. As such, you may reduce or eliminate some of that supplemental/accessory work (depending on your weak points).
Try not to manipulate both the max/dynamic and supplemental stuff at the same time until you have an idea of how they work individually. Too many variables and you won't be able to sort things out.