Conflicting rulings by different jurisdictions means the USSC has to take it eventually. And if at least four Justices vote to take it this fall, there will be a decision next June.
However, I believe they can punt and require the Obama and Holder to appeal it to the full 11th Circuit first. The reasoning behind that would be to get more arguments and opinions so that both sides have their cards on the table. This is likely; only rarely does the USSC take cases before the entire appeals process has played out.
As I recall, the Supreme Court ruled on the 2000 Presidential election recount only because of Constitutional time constraints.
Your answer makes a lot of sense. Let’s get the arguments out there. That would reason with why Obama skipped the appeals deadline.