The confusion stems from the introduction of "neoconservatism" into a thread which just before was topic-centered around neoliberalism. To a reader it looks as if it's trying to establish that neoliberalism and neoconservatism belong to the same category and together form a unity of opposing forces. It reads as if neoconservatism is a conservative form of neoliberalism (or vice versa).

Neoliberalism is entirely unrelated to neoconservatism. The "liberal" part refers entirely to free-market economics.

The two philosophies are similar only in name. It is possible to be both a neoliberal and a neoconservative.

For example, every Republican president from the 1980s up to Trump was a neoliberal. This includes Bush who you mention as a counterexample. Trump was the first anti-neoliberal president we have had in decades as he, unlike his predecessors, promoted tariffs.