Outside of antibacterial or germicidal soaps, the cleaning action of washing with soap is 100% mechanical. Soap molecules are asymmetrical and have one side that’s hydrophilic and one side that’s hydrophobic which, when used with water, creates a nifty mechanism that picks up crap on one side and catches a ride on the water molecules with the other side.
Isn’t basic soap also destroying the lipidic membrane of most bacteria? It doesn’t need to be specific antibacterial soap for that.
Regular soap does also kill bacteria with those hydrophobic sides of its molecules by breaking a bacteria or virus’ lipid membrane. I would argue this still a mechanical process though. Antibacterial soaps use a specific chemical, Triclosan, that binds with enzymes within the bacteria that prevent it from reproducing.