(Prefacing this by noting that I am not going to get into a normative discussion here of whether liberal values are better or worse than libertarian values. I'm only addressing the question of whether Arnold Kling is accurately framing liberal values.)

I'll leave speaking about what's wrong with the conservative frame for an actual conservative (from my also-outside perspective, it doesn't sound particularly accurate).

But as far as liberalism goes, I think what Kling describes might be an accurate depiction of, say, "social justice" blogs, but those are a subset of liberalism, not the essence of it, and it doesn't describe the way the blue tribe people I grew up around (New England, middle class, disproportionately Jewish) reasoned, nor do I think it captures the way the more wonkish liberal bloggers reason.

More specifically, libertarians think that only libertarians care about freedom, while liberals think that libertarians are privileging one particular, controversial, definition of freedom -- the negative liberty of freedom from government (and only government, and in some but not all cases, specifically Federal but not local government) coercion. The liberals I have always known also think that maximizing freedom is the goal, but we define it as something like the autonomy in practice to flourish. So for example, some (not all) libertarians think the Civil Rights Act reduced aggregate freedom, but pretty much all liberals think it increased it. There is a similar divergence in attitudes about net effect on freedom with regards to regulatory interference in freedom of contract between parties with unequal bargaining power. Etc.