It sounds like Ich. Its too late for a quarantine tank. The white spots from ich are ulcers where the parasite has broken out of the skin. They encapsulate and fall into the substrate. When they hatch they are free swimming. It is during this period they can be killed with one of the ich treatment at your LFS. Personally I use Cupramine, and yes, Treatment is going to be hard on all your fish. You may lose a couple. If not from the disease, from the treatment. It's a good idea to also raise your tank temperature some at least above 80. Make sure you follow the directions on the medication you use. The gestation period for the larvae is about 10 days so you need to keep the tank medicated for at least 2 weeks. As I said it can only be killed in the free swimming stage. Even though your fish may look cured before this, if you remove the medicine to early, it will come back. The medicine is removed by activated carbon BTW. So remove the carbon from your filtration during treatment. and another thing. Your bio-filter is not going to like the treatment. You will need to recycle your tank, to some degree, when this is cured.
BTW ich comes into your tank inside the skin of new fish and in aquarium water from your LFS. This is why I always quarantine new fish for 2 weeks before I release them into my community. And never, ever, EVER add any LFS water to your aquarium. It may seem a waste to have a tank set up to use as just a way station, but it's much easier than killing your bio-filter in your main tank.