It doesn't. I posted that thread to better explain the concept. I contacted Westcott quite awhile ago regarding fitment and I was told their system wasn't compatible. After I asked a few questions about the product, I received curt answers so I decided they didn't want my money. Anyway, it really doesn't matter.
The solution you seek (BLUF: level LX570 with a 1-2 inch lift with OEM suspension characteristics.) has already been solved wholistically in the form of AHC Long Travel. What you're proposing has limitations. It's not that we're not understanding, rather what you're suggesting is honestly not a great approach. Especially when AHC Long Travel is also addressing down travel, which is as important to the lift itself for it to all work effectively.