Wow. This is a really douchey thing to do... I mean even if people DID use the beach, how many people are going to be on it??? It's not going to be an eyesore.
I'm firmly in the camp that lakes, streams, coastlines, can't be property.
http://en.wikipedia.org/wiki/Freedom_to_roam
"The freedom to roam, or everyman's right is the general public's right to access certain public or privately owned land for recreation and exercise. The right is sometimes called the right of public access to the wilderness or the right to roam."