So I just got approved for DACA for the first time and I got my EAD in the mail and it uses both my last names but for the past 19 years or so that I've been living here I've only used one last name. I didn't think this would be a problem because of the SS application it had a field for "given name" (which is where I put both last names) and a field for "name shown on card" which is where I only put one last name (the one I've been using.) The guy at the SS place said it didn't matter that I have to use both since that's how it appears on my EAD. My question is, is there anyway I can get it so my ID only uses one last name? I know you don't have to take your SS to get an ID so if I take documents showing I only use one last name will they let me?
Also if they don't I would consider going to a probate court here to change it but i'm not sure of the process or if USCIS would interfere and not let me change my name.

P.s- some receipts and stuff I got from USCIS use only one last name and others use both so it makes it even more confusing. I called USCIS and they said I'd have to submit another I765 and pay the fees and wait another 3 months if I wanted it corrected