I'd be scared, too, if I was trying to ride in the drops all the time You should be riding the hoods (right on top of the brake levers) around 80% of the time. Switch to the crossbar and drops as needed or to switch things up. It'll come with a little time.

I made the transition a couple of months ago and felt quite a bit more uncomfortable on the drop bar bike than I did on my hybrid. I put a lot of time on the road bike and now it's reversed, I don't feel as comfortable on the hybrid.