Shouldn't Siri be able to run on the new iPad? Siri has been made to run on older iOS devices some time ago. It was reported by MacRumors that special hardware is what sets the iPhone 4S as the exclusive device for Siri. Enter the new iPad. 

The new iPad supports voice dictation, which, to me anyway, is a clear indicator of at least some of this earSmart technology making its way into iPad 3. Additionally, the new iPad has some sort of access token to Apple's servers, given the voice dictation feature. As discussed by answers to my question here, the new iPad is connecting to Apple servers for voice processing. Additionally, Voice Dictation would imply that the new iPad has access tokens for Siri's servers.

So, we have the hardware, and we have the token. The new iPad should be able to run Siri, pending an update from Apple or the jailbreak community. 

Is this thought process correct? Have I missed anything?
The short answer is no, not yet. The long answer is because the only (reliable/legal) way to get Siri on a non-iPhone 4S device is to use a package found in Cydia called Spire. This requires you to have access to a Siri proxy server or an iPhone 4S for the tokens. However, @chpwn (the developer of the package) has stated many times that it will not run on iOS 5.1, because the iPhone 4S IPSW (the actual firmware downloaded from Apple) cannot be unencrypted at this time. This IPSW is needed to harvest the Siri files for use on other devices. He could port it illegally, but he doesn't plan on it. Because the new iPad is running iOS 5.1, Siri cannot be run on it, plus a public JailBreak for the new iPad hasn't been released yet.