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Jadedcat While your resource analysis is excellent, material costs in an infinite world are meaningless. Given that every resource is inexhaustible due to each Minecraft world being far larger than any person could possibly explore in a single lifetime, the only resource that counts is time.
Start from a brand new world and mark the time. Gather the resources and make the machines. The mod with the least time from a fresh world to a fully automated ore processing setup wins. That is the only measurement that truly matters. Fully automated is defined here as you place your ore in a chest and it is placed into another chest as ingots without any further intervention. Processing time until the first ingot is produced counts.