We have some "native" areas, but they are mostly well maintained Cordgrass, Muhly grass and Fackahatchee beds. They back right up to homeowners property. We have had our share of complaints like; "the grass is blocking my view of the golf course", "rodents hide in them", and my favorite, "it all looks like weeds to me". Although we aren't going to remove it, we do our best to keep it maintained by keeping weeds sprayed or pulled and mulch applied periodically. Sometimes that's all you can do.
Also, here is a recent article of someone going through the same thing you are.
http://www.dnj.com/article/20110606/NEWS01/106060313/Course-changes-rough-residents