According to this article in the Yuma Sun, Arizona Secretary of State Jan Brewer has already said she wants to appeal the July 9 ruling on ballot access to the U.S. Supreme Court. Usually state officials wait a few days after a ruling comes out, before they say whether they will seek U.S. Supreme Court review.
The ruling struck down Arizona’s early June petition deadline for independent presidential candidates, and also the ban on out-of-state petitioners. Brewer seems more concerned about the deadline part of the ruling. She again says, as she did in the lower courts, that Arizona can’t decide how many pages the November ballot will be, until it knows how many independent presidential candidates there will be. It is true that Arizona general election ballots for president consume a great deal of space, because Arizona is one of only 7 states that lists all the candidates for presidential elector. However, there is no sensible reason why Arizona needs to list all the candidates for presidential elector on the November ballot. None of the other states with as many as 8 electoral votes list this information. The candidates for elector are virtually always obscure people, and if ballot space is precious, one wonders why the state insists on listing them. Arizona has 10 electoral votes.