Fringe has a lot to lose if there is a strike:
[Networks] are puzzled over how to proceed with fall season promotions. Fox, for one, was planning to blow the doors out with barrages of Fringe buzz, but may hold back if the show's early-July production start is in jeopardy.Fox has given Fringe a superstar schedule with a House lead-in this fall, and an American Idol lead-in this spring, but strike delay could throw everything off. House already has some episodes "in the can", ironically thanks to the WGA strike.
Comic-con would also be affected by a strike, preventing movie stars from attending and giving autographs. So while we might not get an Anna Torv or Joshua Jackson appearance in San Diego next month, JJ Abrams would still be there promoting Fringe (but not Star Trek since Paramount has already pulled out).
Fortunately, the American Federation of Television and Radio Artists (AFTRA) have already come to a tentative agreement and will vote on July 7th, which is expected to pass. While the Screen Actors Guild (SAG) has not been able to reach an agreement, and their contract expires on Monday, June 30th, they would need a 75% approval vote to strike, which is unlikely.