I used to be in the military, and that was pretty much the schedule. I usually went to bed at 10pm but I naturally sleep for 6 hours so I could do that. Most guys I knew were in bed by 8 or 9 on work days.

For the most part, you do get used to it. Should take about a week. Maintain your sleep schedule even on days off. If you must sleep in, try to limit it to an hour past your usual time. This will minimize grogginess on your work days.

Don't worry about getting stuff done. The sun will be up, so you'll be awake enough to do something. You won't be a work horse, but you'll accomplish at least one task.

If you're not a morning person, you can always sleep right when you get off work, and then just be awake all night. It sounds weird but I did it for six months when I was overseas. again, you get used to it.

If you have enough time on your midday break, I recommend a 20 minute nap then. even if you don't sleep your brain will appreciate the rest. If you don't have enough time for that, then a nap after work should do the trick, yes.

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As for the Doctor visits, most doctors have appointments available after 3pm if you can book enough in advance. Otherwise, ask your boss before you book the appointment if you can leave early for doctor visits, and be honest with him about how frequent it may be. Most managers are willing to work something out.

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Good luck.