That act is a matter of yielding to divine authority. You yield to authority, add a few new religious responsibilities to your life, and basically live like you always lived. Repentance is a different matter. When a person declares faith in Christ and yields to immersion, repentance is assumed. Typically, American Christians do not like the concept of repentance.
Repentance involves surrender.
Good servants surrender. They surrender life to the control of their master. American Christians make poor servants. They want to serve without surrendering. They reject surrender, and they despise control.