We camped over Easter (absolute peak capacity) with our girls when my littlest was 2months and the following year just over 1. My kids sleep great while camping and even if they did stir no one noticed.
If you really feel self-conscious, the gums campground down the hill is more secluded but you will meet less people. (It's all just a giant clearing with a few dirt roads forming borders between the camp grounds)
The Pines is a community atmosphere and everyone will be stoked to see your little one outdoors!