I have never used a vet other than our traditional vet. I've never had a reason to need to. I will say though, that I have seen the benefits of using an alternative treatment method, depending on the situation.
For example, my aunt has a doberman that was diagnosed with Wobbler's Disease (a disorder where the spine and nerves do not work together as they should that causes pain and mobility problems) several years ago. The only method of treatment that a traditional vet could offer was a very expensive (like, thousands of dollars) and risky surgery with little chance of help. She opted to try acupuncture treatment and herbal supplements and has had GREAT success.
I guess it really depends on the problem at hand.