Jefferson never referred to his “clippings” as a Bible, rather a collection of Jesus’ teachings. As a naturalist, he omitted any references to miracles, resurrection or other supernatural events. No evidence that he censored Paul; his focus was on the life and teachings of Jesus.
Be careful of any teaching (on any topic) that chooses to conveniently exclude the challenging and hard to explain. We pursue knowledge but We live by faith. Without Jesus’ miracles and resurrection He becomes just another guy walking in the desert.
I have not seen the Jefferson Bible but believe the first