The Book of Leviticus lists the birds that are not kosher. And they are all birds of prey. It seems that road runners are birds of prey, so they are not kosher, even though it's doubtful that the authors of the Bible ever saw a road runner. Bottom line: if the Coyote converts to Judaism, he's have to give up road runners. And rabbits, too; they're not kosher either.
BTW, the Bible also lists the bat in the list of forbidden birds. Hey, they were sages, not zoologists!!