How can I wirelessly get videos off of a new iPad? If one has a New iPad and uses it to shoot video, is there a way to wirelessly transfer videos off the iPad and onto my Mac?

We've established that PhotoStream is for still photos only, so that won't be the solution.
You could use iTunes Wi-Fi syncing.

Prior to iOS 5, you would have to plug in your device to sync with iTunes.

As of iOS 5, 2 new features were introduced:


iCloud
Wi-Fi syncing with iTunes


For people like me that mainly used iTunes for backup purposes, iCloud eliminated the need for syncing with iTunes altogether. However, there are people that still sync with iTunes and thus Wi-Fi syncing could help.

It does the exact same thing as syncing with the cable but you don't need to have anything attached. Both computers just need to be on the same Wi-Fi network. Apple has all the steps necessary in order to get this working.

One of the things lacking on Apple's page is how to force a sync from your device. On an iPhone, you would do the following:


Launch Settings.
Navigate to General > iTunes Wi-Fi Sync
Press Sync Now. (Note: This will only appear if you have set up Wi-Fi syncing according to Apple's directions and that computer is on and connected to the same network.)