Please don't take this the wrong way. I'm sure my comments are going to really tick some people off, but please hear me out. I am a Christian (non-Catholic married to a Catholic) and also a public school teacher who attended a private Christian college and taught at a Catholic school for five years. (If it matters, because a lot of times in public education discussions it seems that political party matters, I am also a Democrat.) I also have very good friends who homeschool their children and send their kids to private schools and teach in private schools.
We considered Catholic and Christian schools for our daughter before she started kindergarten, but for many reasons we chose our public schools. (Exposure to the incredible diversity within our city, the high caliber of teachers in the public schools, the availability of resources that the public schools had and the private schools didn't have--like gifted education, not having to pay tuition, the accountability checks that public schools must meet that private schools sometimes lack, our daughter's educational needs, and other personal reasons.) We won't go back on that decision for many reasons.
I don't understand where people get the idea that their kids will be "indoctrinated" in public schools. In my opinion (and in my experience) indoctrination happens more in Christian/Catholic schools and in homeschooling because a specific religion or mindset is being taught. In public schools, kids are taught many different views and how to think for themselves. They are exposed to different thinking and learn how to sort through information. They are not always being taught just one way. And contrary to what others may think, I believe that if you have a strong set of beliefs that you teach at home, no matter what your children (of all ages) are learning outside of the home, your teachings will have a stronger impact on your children. I also believe personally that attending public school is better preparing my kids for life after high school/college because it is highly unlikely they will enter a workforce or social scene where everyone has the same belief system that they have.
In answer to your question about the amount of reading time in the public schools, no, that is not an unusual amount of time for elementary students. Literacy is the base for all learning at all levels. In most reading instruction there is science, social studies, history, etc. imbedded in the reading instruction at the elementary level. And reading and writing are imbedded in the science and social studies areas as well. More departmental instruction starts in the middle school years.
Having said all of that, (and probably really making a lot of people really angry) the choice is ultimately up to what is right for your child and your family. If we lived in a different community we may have made a different decision. I'm not trying to bash homeschooling, Catholic schools, or Christian schools. Every child is different, every school is different, every family is different. I've seen stellar private schools and truly pathetic private schools. The same with public schools and homeschoolers. I'm only asking that you don't automatically disregard the public schools because certain groups have said public schools are bad. You need to judge for yourself what is best for your family and your children. (Goes back to that needing to learn how to think for yourself.) I think the best advice that has been mentioned is that you need to visit all three options and decide what is best for your family. Good luck!!