According to the Justice Department, Mr. Wagner was seen in security camera footage carrying out the arson attack at the Tesla dealership and was wearing a black hooded sweatshirt. At one point, investigators said, his hood fell back, giving them a better look at him.

A New Mexico man was charged in connection with two arson attacks on a Tesla Inc. dealership and the state’s Republican Party headquarters, what prosecutors described as “domestic terrorism” linked to widespread protests against Tesla Chief Executive Officer Elon Musk.