Here's another wrinkle when it comes to jurisdiction -- does the federal local circuit court have jurisdiction? There are ways to sort that out, of course, as statutes generally sort that out. Regardless, there are times when both courts could make a case for having jurisdiction and a conflicts of law issue arises.
Still, appearances in federal court are rare. State laws will usually cover the remedies sought by the party filing suit whereas federal jurisdiction tends to rest with more uncommon issues such as violations of employment laws.