Would photo ID on Social Security Cards deter identity theft?

We have photo Id’s on drivers license, so why not on our Social Security cards? There is a two-fold reason for this: 1. Some people have lost their drivers license due to traffic tickets or other means. A Social Security Card photo Id could be used in lieu of the lost drivers license for identification purposes. 2. Social Security cards are a main form of identification and are frequently stolen for criminal gain. And, isn’t it time for a roll call, to see just who does and does not belong in America? New Social Security photo Id cards would give America a “fresh start” in solving identity theft. The cost to make this transition would be heavy, but so are foreign wars that we will never win. Question: Would photo Id’s on Social Security cards deter identity theft?