According to the presidential pardon this episode takes place November 2nd 2007.
The President and her daughter were discussing possible replacements for the Chief of Staff and the two names they threw out were Robert H. Justman and Rick Berman. Bob Justman was a producer on Star Trek (1966) and both were producers on Star Trek: The Next Generation (1987). Brannon Braga, also a former producer on Star Trek: The Next Generation, is currently a co-executive producer of 24 (2001).