There is rarely, what many pejoratively call liberalism, in the curriculum. I think the public is often uninformed about the difference between State Standards, a schools curriculum, and a teacher's lesson.
Here is a link to my states Common Core Standards for the grades I teach 11th and 12th. I think you will be surprised to discover how normal but rigorous they are.
English Language Arts Standards » Reading: Literature » Grade 11-12 | Common Core State Standards Initiative
Under the current education budget, if you distribute money equally, wealthier schools will loose money and poorer schools will receive more money. But, this is dichotomous thinking. That is not our only option to fix education. Schools need more "but in" from parents. This is controversial in educational circles because there is little research on how to accomplish this effectively. Of course it will take money no matter what is decided. It all takes money. People have to be paid, and with more money and fewer union rules a school district could afford to hire more qualified personal. If teacher pay were tied to longevity in the classroom and measurable success--this would help attract stronger teachers candidates. But, that is only a small part of the answer. It is horribly complicated and political. I sometimes hate it. I love my students and love to teach but, the adults in the room are often intolerable.
I send my kids to a private school for several reasons.
When they stated in kindergarten, we lived in a desirable and picturesque neighborhood in our downtown area but, it was in a bad school district. What I mean by bad is that the school my kids would have attended had low test scores and an unbalanced ratio of veteran teachers to new teachers. Good teachers matriculate to the better schools where the affluent parents join the PTA, come to school events, and support their students by helping with homework. In the poorer neighborhoods the kids do not have that support. My wife and I wanted out children to be surrounded by other kids with comparable intellectual abilities and self control. The private school is expensive but, defiantly worth it. My kids are the top of their class in the most academically rigorous school in our entire county. It's a great school.
Another reason is that we wanted our kids to receive a "Christian education." I used to be a believer. I was a deacon in a conservative Protestant Reformed church. My wife and I decided to leave our children in that school when we left the church. It is a bit awkward for me but, that's okay. My kids are happy and they are little. We haven't discussed non-belief with them yet. It will be a while still. I have some regrets about some of the things they learn at that school but, I simply explain my perspective to them when they ask or it comes up in conversation. My kids will choose for themselves what they think when they are adults. I don't like indoctrination--at least I like to keep it to a minimum. Most of the reteaching involves some unscientific thing they learned or sometimes historical things like God blessed America or Thomas Jefferson was a Christian. There are two sides to a coin.
My kids will however, attend whichever high school I teach when it is time. I plan to move to a traditional public school when they are that age. We live in a rural area of California, so the commute is significant wherever I teach. Since my kids are doing very well in school, I don't want to make a change now. I'm all for school choice--the more options, the better.