Catalyzes the anaerobic reduction of benzoyl-CoA and 3-hydroxybenzoyl-CoA to form cyclohexa-1,5-diene-1-carbonyl-CoA and 3-hydroxycyclohexa-1,5-diene-1-carbonyl-CoA, respectively. The enzyme also reduces other benzoyl-CoA analogs with small substituents at the aromatic ring. 2 ADP + cyclohexa-1,5-diene-1-carbonyl-CoA + oxidized 2[4Fe-4S]-[ferredoxin] + 2 phosphate = 2 ATP + benzoyl-CoA + 2 H2O + reduced 2[4Fe-4S]-[ferredoxin] 3-hydroxybenzoyl-CoA + AH2 + 2 ATP + 2 H2O = 3-hydroxycyclohexa-1,5-diene-1-carbonyl-CoA + A + 2 ADP + 2 H(+) + 2 phosphate The iron-sulfur cluster may be a [4Fe-4S] cluster. Optimum pH is 7.2-7.5. Heterotetramer composed of A, B, C, and D subunits.