A 3 year old on Librium (anxiety meeds)?

My 3 year old is very hyper and anxious. She scratches her face until it's raw and does the same on her belly. She tosses and turns, kicks, fusses, etc. for some time before sleep every night. When I expressed these concerns to her pediatrician, he told me to try honey and milk at bedtime. That worked for my older daughters night time jitters. It didn't have any affect on my 3 year old though. So when the dr. asked how she was sleeping I said, no change, she still wiggles all night. He asked how she was doing at daycare and I explained that her teacher does complain regularly that she is disruptive and has to have something in her hands and something to keep her occupied. His solution was a 45mg daily prescription of Librium. I thought that was a bit much and he assured me that it was fine. Later when I filled the prescription, the pharmacist gave me strict warnings of the dosage before leaving. She said she called the dr. and he told her to go ahead and prep the meds as he prescribed. Now I have a 30 day supply of this stuff that I'm supposed to give my daughter (3 15 mg pills in the evening) and I feel bad for even bringing them home. I'm stuck. I want to do what's best for my daughter and that should be what her doctor says she needs, but I can't ignore this gut feeling, that she's just an active little girl and doesn't deserve to be zoned out because of her personality. Also playing into this is the bond that my family has with this Dr. He has treated my family for over 30 years. Still I wonder, what if he's going a little loopy due to his age...