We have had a ice maker in both our homes since I've been married. I LOVE it - we drink iced tea and fruit punch (yum - Crystal Light...) all evening, and DP drinks it all day while I'm at work. We have the older sort of ice maker in both places, with the dispenser poised over a large bucket that fills with cubes. I can keep it (and do keep it) impeccably clean - I take the bucket out about once a week, right before bedtime (so we aren't without ice while we're awake) and wash it and dry it well, like I would with other dishes. The part that stays in the freezer isn't a concern - the cold temperature keeps it free from mold build up, and since I don't touch it, no bacteria to muck it up. I do occasionally wash it with a clean cloth and some bleachy water, and then just discard the next couple of batches of ice.
The icemakers people have concerns with at restaurants and such are the sort with an integrated bin that people are putting their hands (and upper bodies sometimes, depending on how large the machine is and how hygienic the people are) into, and so are constantly contaminating them with their germs - and since they are big bins with a machine fixed in place at the top, and often are fixed in place in a counter or in a wall niche, they are harder to clean than just washing them.