What I gather is that the Judge has ruled his opinion that at the moment Obama was sworn in he officially became President and after that moment standing to remove him by civilians and military members ceased to exist except for only Congress through impeachment or the 25th ammendment.
What Carters message in his decision also means is that since Obama will be a incumbent President in the next election, no other upcoming challenging candidate will have standing either because he will still be the President during the next campaign because he was sworn in office in 09. Congress will still be the only entity to have standing.
Yeah, I don't see it that way. While I don't believe any of the current challenges to him will prevail, I believe that there's every likelihood that challenges to his future would be heard, given of course the appropriate party brings that challenge.
Incumbency is immaterial to ballot access, and that's the real issue - Would Obama be eligible for the office and therefor eligible for ballot access?
Judge Carter dealt with the whole issue of standing long before he mentioned the election. And the inauguration didn't factor into any of them. What the inauguration did impact was the question of redressability.