My son is on an alternative vaccine schedule. He will receive all of his vaccines, but not on the schedule proposed by the CDC. I agree that this is waaaaay too many shots. I very highly recommend that you check out Dr. Sears' "The Vaccine Book." In his book, Dr. Sears provides an alternative vaccination schedule that we use and love and it helps you keep track of the shots when they are not on the schedule your pediatrician recommends.
Why do an alternative schedule? Well, I look at it this way. What if your child has a reaction - moderate or severe, after her 12-month appointment? To what is she reacting? Do you know? Do your doctors know? How will they treat it if they don't know what set her off? How will you avoid it next time? We never give more than two shots at a time, so that identifying a reaction will be that much easier. For his 12-month appointment, my son received the DTap and the Hib. I went in a month later for a nurse's visit for the PCV. He will receive the Varicella at his 18-month check-up. We have decided to delay the HepA until he is 2 (it has a very mild risk of seizure that decreases as a child gets older - HepA is a very severe disease for adults, but usually mild in children, so we're not concerned) and we plan to delay the MMR until he is at least 2.5.
Our doctor is not supportive, but she works with us, which is good enough. She says it's cruel to make him go through the shots on separate days, but I think this is silly. My son has never had even a cranky afternoon after his shots - he certainly isn't upset for several days as other people say.
What you choose to do is, of course, up to you. The CDC schedule is used by many parents with no or only mild complications. But I suggest you do your research, especially if your gut is telling you something is wrong. Good luck.