It is not possible to be more systematic than the Bible. The truth by nature is systematic; all parts must necessarily cohere and relate to the others. Where our systems fail, the fault lies with the systemetizer, not the systematic nature of truth. It because of the fall and the consequent noetic effects of sin that we ought to beware of elevating our system over Scripture. In a perfect world, though, there will be not one iota of natural or special revelation that will not be seen perfectly clearly and perfectly ordered (i.e., systematized) within the grand and sweeping whole.
But, for now, Berkhof says it well:
"There seems to be a lurking fear that the more we systematize the truth, the farther we wander from the presentation of it that is found in the Word of God. But there is no danger of this, if the system is not based on the fundamental principles of some erring philosophy, but on the abiding principles of Scripture itself."
—Louis Berkhof, Introductory Volume to Systematic Theology (Grand Rapids, MI: Wm. B. Eerdmans Publishing Co., 1932), 15.