I don't think there's particularly good alignment even on that "axis" (it isn't really an axis, because most things are not inherently one or the other.) A good example of that is the "sector wide union contracts" thing. The default "leftist" position in the US is that things that apply to an entire sector should be legislated rather than negotiated by workers

The US does have child allowances, by the way - during Covid, it was even increased and paid out monthly instead of annually. Increasing it as of late seems to be an "R" policy, at least on the Trump wing.

Are there European countries that offer free college regardless of academic achievement during high school?