Yes yes there is quite some disagreement among liberals of what constitutes a real free market and real meritocracy, who deserves to rule and who doesn't and who does it properly and all that.
I think liberals are generally in agreement against neoliberalism? It's much more popular among conservatives. The exception is the ruling class, which stands united in their support for neoliberal policies regardless of which side of the political spectrum they're on.
You have a very distorted view of what liberalism means, we say liberal democracies and liberal international order for a reason. They are all liberals. Reagan and Clinton famously both did neoliberal reforms. I'm not saying they did the wrong thing to reach justified meritocracy, or the degree to which the free market requires regulation by a strong government, or how much we should rent control land lords, I'm saying we are all fucking peasants.