GlobalEnergyConsumptionForMining ~= (MiningReward + TransactionFees) * bitcoinValueInUSD / EnergyCostInUSDperkWh
please read my thread carefully where you will find your arguments proven wrong (see signature)
I read part of that thread and my assuptions could actually make things worse. Mining would be done in the areas of the world where energy is the cheapest. At $0.05 per KWHR, then your 7% would become closer to 14%. But that would decrease over the years as the mining reward keeps halving. But even at 14% of world wide energy usage, it seems to me that the cost of Bitcoin would still be less than the cost of using fiat currency.
BTW, I don't think that Bitcoin (or any other cryptocurrency) will ever completely replace fiat currency. I spend a lot of time in Kenya with my youngest wife who uses M-Pesa. M-Pesa is everywhere, you can't walk a block on a business street without seeing a couple signs. She uses it to send money to her parents via text on her phone. She uses it to pay her electric bill. We were in a matatu going past the electric company main office and she was making fun of all the old people (younger than me...but beside the point ) queing up to pay their electric bill instead of using M-Pesa. And everyone in Kenya (even if they sleep in a cardboard box) has at least one cell phone. One day, she wanted to stop for a coke and I mentioned that I hadn't brought my wallet and she had no money. No problem she said, stopped at the next M-Pesa sign and converted some of her M-Pesa on her phone to 500 shillings. The point being is that Kenyans are already using an ecurrency for all sorts of things, but they don't use it for small transactions. Fiat currency is simply faster and easier.
What I do think that Bitcoin will do for fiat currency is force governments to stop inflating it so much. There will be a balance between slightly deflationary Bitcoin and slightly inflationary fiat currency. When a government starts inflating fiat to much, people will just use less of it (and at a much higher velocity) and switch to using cryptocurrency more. This will accelerate inflation and force the government to print less fiat(or find themselves unable to operate effectively).