Not strange at all. Neoliberals are for big government everywhere except government regulation of big business. They want government and big business to work together as one organization of plutocrats to control everything.
Have you burned all the strawmen, yet?
Again, by words, "nobody" wants that. By actions... there's plenty of governing official that clearly do. Many of them have a "liberal" label on them. Many of them have other labels on them, too. Labels aren't as interesting as actions, though; distracting people with labels is one of their prime tools.
> [...] under what are, universally, "small government" neoliberal regimes.
Where did you get that idea from?
Look to actions, not words. The US is certainly not a small government country by action, regardless of its words.