One more suggestion: Do label the time zone. even if it correctly detects the user's time zone, that's unexpected on the internet. Plus you don't label 'current' time... for all I know it's a Time Zone ahead but only updates once an hour. Anyway, all confusion goes away with a label.
Edit: Took out references to my personal time zone
Even better, draw a vertical line on the x-offset location of the graph that represents the current time. That will let everyone calibrate to their own time zone intuitively.
One more suggestion: Do label the time zone. even if it correctly detects the user's time zone, that's unexpected on the internet. Plus you don't label 'current' time... for all I know it's a Time Zone ahead but only updates once an hour. Anyway, all confusion goes away with a label.
Edit: Took out references to my personal time zone