Naturalizations are filed in District Courts. The one for Michigan is Detroit, there were four Jose's listed none match the 09 Jan 1896 birthdate. The cards only show a case/file #. I also did not find a WW I draft registration in Bexar county in 1917 or 1918.

The below link has Mexico baptisms and marriage records which shows one Jose Tomas Rodrigues christened 13 Jan 1896 San Atnen?genes, Durango Mexico father Ysidoro Rodrigues mother Ma Del Refugio Solis.

http://pilot.familysearch.org/recordsearch/start.html#p=0