I don't see how this changes things. If an illegal alien gets a driver's license, he can use that as ID to register to vote after illegally and incorrectly verifying that he is a citizen. What makes you think that someone intent on fraud would be deterred by having to take two steps to do it rather than one?
Motor/voter is kinda like the shall issue concealled weapons law, the secretary of state offices cannot deny a voter registration application. No confirmation of citizenship, address confirmation etc. is required. VOTE FRAUD