I have had problems at work like that, and I function better at night, always have. It is definitely a "Diversity issue" but good luck getting people who badmouth people who have trouble with the morning schedule, to recognize this.
I'm like that, too. I generally can work a full day starting around 9-9:30, leave at a reasonable hour, and then have a sort of down period from 8 to 10 pm. Some time between 10 and 11 I usually have a second wind and work 4-5 more hours of pretty high productivity. Unless someone's been making me come in at 7:30 or 8 for meetings, which kills both my daytime and nighttime productivity. Fortunately, most of what I do has allowed the flexibility to work the hours that work for me.