To determine whether a right is fundamental under the Due Process Clause, the court inquires into whether the right is rooted in our Nations history, legal traditions, and practices. Glucksberg, 521 US at 710.
Here, because the right to marry is fundamental, the court looks to the evidence presented at trial to determine: (1) the history, tradition and practice of marriage in the United States; and (2) whether plaintiffs seek to exercise their right to marry or seek to exercise some other right.
Your betcha ass it will. Anyone who thinks there won't be lawsuits filed in every state within days is delusional.