If I have a domestic violence misdemeanor warrant and also have jury duty, will they arrest me?

It is likely that they will arrest you. Failing to show up for jury duty could also be cause for your arrest.

I have not seen courts run warrant checks on potential jurors. Nonetheless, it is always best to get your warrant cleared up before going anywhere near a courthouse or police. You should contact an attorney to try to get your warrant quashed without having to get booked into jail. Good luck.