Again, this is still operating under the assumption that this is not a worldview a lot of them prescribe to. A lot of people feel like their purpose in life is to sit in their place in the hierarchy. Move up if they deserve to, but in general, they feel like their role as a cog in the machine is an honourable one, and anyone who wants to disturb it is a problem to them. If the economy is rolling, there are jobs, etc., then things are working even if their kid's school is overcrowded. The rich are rich because they deserved to be, and they deserve to be able to send their kids to better schools, and vice versa.

Not all, obviously, but a lot of these people aren't hypocrites - they don't want the government to be providing these services for them or anyone else. For some of them it's an issue of stolen valour (i.e., we suffered through raising kids and paying our own costs and now you expect us to pay to take care of your kids!?), for others it's ignorance (i.e., just learn how to budget better and it's fine, anyone can do it) but for a solid chunk it's a belief that we are not equal. The government has a legal requirement to treat us as equal because the government doesn't have the ability to justifiably sort out the hierarchy, but in reality, we're not literally equal to them, and people who are more deserve more, and people who are lesser deserve nothing.

Again, these are some shitty beliefs to have, but we will not get anywhere if we keep acting like conservatives are people who want to be liberals in their hearts but have so far failed. They aren't, and analyzing them as though they are is going to make it seem like they're hypocrites and morons (which, again, plenty are). If we want to actually figure out why they think the way they do - and more importantly figure out how to beat them - then we need to understand their fundamental beliefs.