I have a 28-mile round-trip commute that I do from 3-5 days per week. The trip is a combination of suburban streets, paved bike path and city streets. I used to do this on a hybrid with a flat bar. Last fall I swapped for a road-bike with drops and haven't looked back.
One of the biggest advantages drop-bars give you over flats (aerodynamic considerations aside) is lots of different hand/body positions available to you. The benefit here is avoiding fatigue and repetitive stress injuries. I typically go between "riding on the hoods" (most of the time) to riding in the upright position on the flat bar (when going slower, or feeling fatigued), to occasionally riding "in the drops" when really speeding or fighting a headwind.
I will agree that you may encounter some neck soreness at first. There are a number of factors here ... frame fit, height of the handlebars, etc... but also fitness. When I first switched, I had to play around with my handlebar positions quite a bit (never got a 'pro' fit), but eventually found a comfy position. But you also will build up stronger neck muscles, and also learn how to position your head. I typically am not taking "the long view" most of the time. I typically look at the ground maybe 20-30 feet in front of me, and lift my head to shift my gaze longer to keep abreast of what lies ahead every so often. This contributes to a better neck angle most of the time. It also helps to use that ability to change your hand positions around the drop bars give you! Changing your hand position will also alter your neck/back angles.
As far as finding the brakes awkward, lack of control, etc ... you'll adjust to these very quickly. That's just a matter of getting used to something different. I felt a little funny my first few rides out, but now I'm as confident in my control as I've ever been.
The bottom line is that the road bike has shaved several minutes off my commute and is overall much more efficient than my hybrid. Lower rolling resistance, lighter bike, more aerodynamic riding position. It's taken some adjustment of the equipment and my body, but it's well worth it in the end.