[UPDATE: While my friend Anthony over at the highly esteemed TrekMovie.com says that HIS sources say there will be no new teaser trailer attached to Indy 4, my source is sticking by his guns. I guess we'll find out on May 22nd.]
Screen Rant has received word from someone who has been a reliable source in the past stating that "it's 100% that there will be a new Star Trek trailer with Indiana Jones."
According to the source, the new trailer will be a continuation of what we saw in the teaser trailer - showing further progress on the construction of the USS Enterprise with technicians working on the ship. There will be new audio, but no word on whether we will see or hear any of the castmembers.
So, that means we'll be seeing the new trailer in movie theaters on May 22nd, the release date for Indiana Jones and the Kingdom of the Crystal Skull.
As mentioned previously, the release date for Star Trek 11 has been pushed back from December 2008 to May 2009.