The quote below is from 625 ILCS 5/3-805.
"In addition to the registration fees, the Secretary shall assess an additional $100 per year in lieu of the payment of motor fuel taxes."
So, not only is the electricity being used to charge the vehicles being taxed, there is an additional payment.
"Beginning January 1, 1990, the rate of tax imposed in this paragraph, including the tax on compressed natural gas, shall be 19 cents per gallon." (35 ILCS 505/2)
To pay $100 in motor fuel tax would require buying 526 gallons of fuel (100/0.19). For a Model S that gets 90 MPGe, that would require driving 47,368 miles annually!
I'm hopeful there is a loophole that would allow a person to get something other than the generic passenger plates instead. I would prefer to get Share the Road plates and have the extra $22 go toward a non profit.