NeoConservatism is not Conservatism.
It began in Democrats less than enamored of the shift therein toward hard leftism.
It resides in residual fashion, since about the late 60's, in the moderate wing of the Republican Party (Bushes, McCain, Dole), and is effectively the interface of 3rd-way (right wing) socialism in the Republican party. Liberal Christian moral base, military expansionism, Big government... Pays lip service only to Christian conservatism, Constitutional conservatism, and fiscal conservatism. Talks the talk, but inevitably strays far from the walk.
see
https://en.wikipedia.org/wiki/NeoconservatismOddly enough, those who back Trump largely embrace NeoConservatism on the issues, while accusing others of the term, with a good bit of antisemitism thrown in... Anti-semitism being an aberration, since neoconservatism is pro-Jewish in it's origins (Strauss).