Right now the power of the Bitcoin network is in the range of a small nuclear reactor (see my post here) : 600 MW.
This calculation only take the electricity spent by the miners. Not the electricity spent by Blockchain.info, Bitstamp, Bitpay or any other part of the Bitcoin economy.
And if we want to be fair we cannot assume that all the electricity spent by the banks is necessary to run "the fiat network". We should only take into account :
- the printing of the paper bills (probably in the range of $0.01 per dollar or less)
- the minting of the metal coins (maybe up to $0.5 per dollar)
- the running of the central banks ($0,0000??? per dollar)
This is what must be compared to the cost of running "the Bitcoin network" (mining costs).
I assure you the amount of energy spent on the production of FIAT way exceeds the bitcoin network power consumed even in proportion to user base. (I for one hardly ever use cash...I use checks, Credit cards, Direct Deposit and Electronic banking)
Lets just take the "mining of metals" concept for a minute. The cost to produce a Penny.
How much oil/gas do you think the trucks and tractors consume daily to mine the minerals?
How about the oil and lubricants for the hydraulics/engines/gears?
How about the the fuel that goes into the workers vehicles to get to (and from) the jobsite?
How about the energy used to produce the tractors/trucks/vehicles the workers use?
How about the energy to manufacturer tires for the vehicles?
How about the refinery power consumption?
How about the power used for the facilities on each site?
How about the energy costs for security and storage?
How about the energy used to truck/ship/train the raw ore?
Then the refined materials go to the mint.
Again, how much oil/gas consumed by the workers daily to and from work? (1845 employees US mint)
How much energy used to make the minting presses and machinery?
How much energy used to run the machinery?
How much paper products/stationary/toilet paper consumed?
How much to heat and air condition every facility?
How much energy now spent on security at the site? (Guards/cameras/alarms systems/etc)
Now let me remind you we haven't even sent the money to the banks yet nor have we produced paper currency yet. And my list is far shorter than the actual energy consumed in making the currency. Additionally, every country on earth is consuming energy to produce their form of currency.
As you can see.....the cost to produce one penny would far exceed the cost to produce one satoshi.
And to make my point crystal clear....if the entire world was using crypto currency, the amount of energy consumed would be FAR less than it is today. 
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