There is parking, but it does stay busy. Lots of people take a shuttle from their resort, or a taxi/uber. It also costs to park in the parking lot.
The parking at the village is a flat $10. We went on Thursday night fireworks and a busy Saturday night and found parking. However, Azumi is right you may spend roughly 10-15 minutes for a spot in the back.
Not really because it's so busy
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