We (my wife and I) have a 3Kw system (total investment about $10K, but we have a 44c feed-in tariff). The dishwasher, clothes washer and any other high consumption items are always run either early in the morning, or after sunset and we make about $75 to $100 per quarter after having fully paid our bill. We also have solar hot water.
True, you can't do much about fridges or garage door openers, but where you can, it is in your interest to move consumption away from when you are generating the most power. My sister, in Canberra, is on a gross feed-in tariff and she is laughing all the way to the bank! In Qld, it is a net feed-in tariff - bummer!