For state return( IL) can I use an EAD card as a state ID? because if i don't have a driver's license or state ID, Turbotax is telling me I have to mail my state tax.

Yes, you'll have to mail in your IL state income tax return.  

Per IL Department of Revenue: You need is a valid Illinois driver's license number or an Illinois identification card number. If you do not use one of these methods, you can download the tax return from our website and file a paper return.