At a busy hub airport you will normally be vectored off your STAR similarly to an ILS (vector to intercept the LOC or a base leg) and will be in trail behind another aircraft. Once you report the field (and any traffic in front of you) in sight, it's all you. Fly it to the runway and make sure your speed and configuration changes allow you to keep your spacing with the aircraft you are instructed to follow. If you go-around, tower will almost certainly give you instructions.
Edit: To add, yes, I would say a vast majority of crews would back up the visual approach with the ILS.