No, they won't run at all. They will probably even refuse to install, since they specifically search for an Altivec unit (G4 or G5 processors) in order to install.
Days from now, Apple will release Intel Mac compatible versions of those applications. But the updates will be available for current versions only, ie, you can upgrade from FCP 5 or DVD Studio Pro 4 but not with older versions.
I understand that, because of this, Apple is offering very inexpensive upgrade paths to current versions and even the full Final Cut Studio suite. But since I don't live in the US (where these offers exist) I am not sure about the details.
Adolfo Rozenfeld
Buenos Aires - Argentina
www.adolforozenfeld.com