I'm having the same issues. I'm Pacific Time, if that matters. I have my iPhone 5 set from 12:30am to 9:30am, yet the little moon icon is still present now, at 11:09am. I tried changing the From and To numbers, the only thing that worked was changing the From. No matter what time I changed the "To" to, the moon icon never went away.
I made some tests and this issue will fix itself on Sunday January 6, 2013. It will happen the first few days of January 2014 (until Sunday January 5, 2014) if the bug is not fixed. Most first few days of most years seem to have this bug. The bugs starts on January 1st (based on the From time under Scheduled) and is usually fixed on the first Sunday of the year (except if the first day of the year is a Sunday, then it is fixed on the second Sunday). Years preceding years where the first day is a Sunday are not affected by the bug.
Let's check the next few years, this is the pattern :
2013 : Issue fixed on Sunday Jan 6
2014 : Issue fixed on Sunday Jan 5
2015 : Issue fixed on Sunday Jan 4
2016 : Issue not happening even though first day is a Friday
2017 : Issue fixed on Sunday Jan 8 (Jan 1st is also a Sunday)
2018 : Issue fixed on Sunday Jan 7
2019 : Issue fixed on Sunday Jan 6
2020 : Issue fixed on Sunday Jan 5
2021 : Issue fixed on Sunday Jan 3
2022 : Issue not happening even though first day is a Saturday
2023 : Issue fixed on Sunday Jan 8 (Jan 1st is also a Sunday)
2024 : Issue fixed on Sunday Jan 7
The same pattern happens if you go back in time as well.
Note : If DND is scheduled before midnight, then the issue and the fix (see above) are delayed one day since it's based on the From time under Scheduled.
Thanks for the info stevem1981, I tested out your advice on my phone (iphone 4, ios 6.0.1) and your theory holds true for me. If I manually change the date to any day after you advised the glich exists then the schedule does do its job correctly . Anyone with do not disturb stuck on just slide it off and wait for either apple to fix the bug or jan 6th and your phone will start to apply the schedule automatically again