I have lived for many years here in South Florida and I am used to see these creatures often during winter time. In summer I do not see them that often and I do not play golf.

Alligators in the Everglades National Park are used to humans. Do not interfere with their activities and they will not interfere with yours. In the park the rangers warn visitors not to come closer than 15 feet because as wild animals that they are their behaviour is unpredictable. We do not have many alligators attacking people here in Florida but it is wise not to get closer. They are pretty fast!

I remember in once occasion fishing in Flamingo, at the Florida lower tip, that I encounter a crocodile. He was looking at me and I was looking at him. Instead of panicking I used my brain and asked myself what does he want? I backed up a few steps and he crossed a small brook leading to the other side from where he was originally standing. It was then obvious to me that he wanted to cross the brook but was feeling as if I was interrupting what he wanted to do. A simple reasoning solved that issue.

Around April they have their babies and prior to that the eggs are hatching. Both are very dangerous times to be close to a mamma alligator. I have seen a female alligator with her babies once but I kept my distance.
If I have an advise for anyone not familiar with these animals as wildlife animals that they are I would say keep your distance and do not do anything they could interpret as harmful to them.