Actually I am in favor of this bill so long as the usual requirements for driving are present (written, vision, road test). There should be no other requirements for a DL than driving or driving becomes a privelege granted by the state rather than a right. For example, I find it outrageous that people can be denied a DL because of child support arrears.
Based on equal protection, all people should get DLs on the same basis.
Of course, illegal aliens pay the same tax you would under the same circumstances-sales tax on what they buy, real estate tax on where they live (directly or in the rent), income tax if they make enough money, they all apply under the same circumstances, "equal protection".
Their immigration status is a matter for the Feds and should have no effect on their relations with the state.