Abrams owns Bad Robot which has a multi picture deal with Paramount Pictures and he is credited as a producer on all projects, like Cloverfield and this new comedy. There are a number of other films Bad Robot has going at Paramount as well. However Abrams is still mostly full time on Trek while it is in post-production. As director he works closely with the editors and ILM every day. He certainly is not 'moving on' and wont until Trek is in the can.