Up to now the only source for Jewish Confederate soldiers, besides considering surnames on rosters, has been attorney Simon Wolf’s 1895 The American Jew as Patriot, Soldier and Citizen, available here.
Altogether about 10,000 names: 7,000 Union and the rest Confederate. Of them, I found eight among the 13th’s infantrymen, though could match only five of them in McLean’s and Howell’s rosters.
Soon there may be more, as a National Archives project to identify all Jewish soldiers of the Civil War is underway. With records Wolf had no access to. Plans now are for everything, from written documents to photographs to be available free online in 2017.