Wrong question.
The correct question is whether States should issue DLs to illegal aliens. They shouldn't. DLs facilitate the unlawful residence and employment of illegal aliens.
We already do.
We give licenses (and CA ID's) to legal aliens -- both residient and nonresident. We also honor foreign licenses. Past bills by Cedillo (SB60, AB60) were specifically for illegal aliens, and SB1160 is no different. Cedillo's bill has nothing to do with legal aliens.
It helps us keep track of them,
I don't know if they share address information with the USCIS (formerly called INS). Once you get a CA ID card, you are not required to update your address if you move, and it certainly won't update itself!
it encourages them to get insurance, all of which help us as a country.
Insurance and licensing are separate issues, since insurance is for the car but licensing is for the driver. Also, state ID cards have nothing to do with driving or insurance.
Some illegal aliens already drive without a license or insurance. Why would they buy insurance if they feel they don't need it now?
Did you use the license as your primary ID, or did you use your passport? Would citizens of the countries you visited use drivers' licenses as primary ID, or would they use something else? If the drivers' licenses were primary ID's, was there anything thereon to identify citizenship or lack thereof?
Simple. California has a "motor voter law". This means you can register to vote at the DMV, using ONLY your driver license as ID. The potential for abuse is unlimited, especially since MeCHA and several other organizations have vowed to take Azlan back for Mexico (Which never owned the southwest, although Spain did, at one time)...
Remember, you were in those countries LEGALLY, these people are already breaking our laws by being here illegally. Many citizens believe it is wrong to give official recognition to them since they are law-breakers.