Wrong, so wrong, on so many levels. You have absolutely no idea what you are talking about from a chemical or medical perspective.
Your chlorinated kitchen cleanser uses chlorine bleach (sodium hypochlorite). It kills because it is a strong oxidizer.
Triclosan and triclocarban are organic molecules (two benzene rings with a bridge) with chlorine atoms substituted for some of the hydrogens. They are capable of entering cells and disrupting enzyme pathways, a completely different approach from bleach, and one that is essentially the same as most oral antibiotics. The biggest practical difference between these antimicrobials and many antibiotics is that ingesting these compounds in sufficient strength to kill bacteria would also kill you.
The difference between triclocarban and sodium hypochlorite is, chemically, the difference between oil and water: THEY ARE NOT EVEN CLOSE IN PROPERTIES OR FUNCTION.
The concentrations of these chemicals when used in surgical soaps is many, many times higher than it is in personal care products, because we place a premium on sterility for surgery. The quantity present in most personal care products is pointless for the intended purpose, and they have been demonstrated to be endocrine disruptors, to accumulate in human tissue, to accumulate in the solid byproduct of waste-water treatment, to accumulate in sediment downstream of said treatment plants, and there is a strong suggestion that these environmental reservoirs will exert a selective pressure towards resistance in the exact bugs that we don't want to resist them.