How significant it is depends a lot on your locality.
However, wagglebee is partially correct about the "elimination" of the tax. I've said it here dozens, if not hundreds of times.
It was brilliant campaign strategy. It was poor policy.
The tax was NOT, and will not be "eliminated." You are still assessed your car tax just as you always were. The difference now is that the state pays a significant portion of that car tax. The locality still gets the same amount of money.
So, what the car tax bill did/does is eliminate a source of revenue (the taxpayer) and increase state expenditures on behalf of the taxpayer.
Now, having said that, it was not the car tax alone that caused the budget problems during the Gilmore administration. It's just not that simple.
With all due respect, I'm skeptical about that.
I have first hand knowledge that was not the case when he was Governor. And I also know that he would not be pleased to know he has correspondence that is not being answered. Of that I'm sure.
It may not be the answer you or your acquaintances would like. But if you're not getting any answer, I'd put money on the fact that the Senator is not aware that mail in his office is being ignored.