Here is the dilemma that states and local government face. A lot of the road and infrastructure improvement and even maintenance is based on gas tax. Sometimes even the police and emergency services depend on gas tax. EVs use the same roads, cause wear and tear, may need the emergency services etc. But they do not pay the gas tax, and hence the burden falls on the ICE user to make up for it. If BEVs are a very small fraction of the total on road vehicle population, it may not be significant, but if they say go to 5 or 10%, then it starts affecting revenue. So I see the problem and this reaction (to add large registration taxes on EVs) has happened in Alabama and will happen/has happened in many other states.
However, $1000 seems arbitrary. In Illinois, the gas taxes are about 26.35 cents per gallon (cpg). If you increase to 44 -c-, plus say about 7-c- for local taxes for a total of 51-c. So you have to buy about 2000 gallons in a year to generate $1000 in gas taxes. At even 20 mpg, this is about 40,000 miles driven in a year, which is not the norm. So it is not equitable. If the fee was much less (about say $300 to 450), then one could make an argument that EV owners need to pay for their share of usage. Now, it sounds like the government wants to sock the person who can afford a EV or cares about the environment. Now they want EV owners to subsidize ICEs, instead of creating a disincentive to use ICEs.
Also, the EV user uses Electricity and pays some taxes on that. So in all fairness, they need to consider that in their calculations.