Probably, it is worth to add some historic (and ironic) "perspective" to this question. It will probably explain that even without scientific research the answer to this question is probably "no" and that real use of bacterial soap should probably be reduced to hospital settings and not expanded to households as suggest promotions and commercials.
The historic perspective I wanted to add relates to the book "The Hermit in the Garden" by Gordon Campbell. Here live hermits are described (there were non-alive as well, this is why I call these "live"). Campbell cites another book - "Sir William Gell's A Tour in the Lakes Made in 1797":
"the hermit is never to leave the place, or hold conversation with anyone for seven years during which he is neither to wash himself or cleanse himself in any way whatever, but is to let his hair and nails both on hands and feet, grow as long as nature will permit them."
From this "work" description we can speculate that "dangerous" infections were not expected during such a long period of soapless live. This is why we could assume that any soap is probably of limited "antibacterial" value for otherwise healthy person.
(Remark: This "exclamation" not trying to answer the question in a scientific way, but just to add some "color" to the question and the answers posted. I hope, it is worth to place it here instead of a comment).