I think you meant Marxists. There is no such thing as a neocon. Neocon means a new conservative which allegedly were the southern democrats which discriminated against the blacks back in the day. I believe there was actually one of those racist democrats that converted to the republican party and he died years ago. The remaining racist democrats were racist democrats all the way to their graves.
What you're talking about is Dixiecrats, not neocons. Dixiecrats were conservative Democrats who broke with their party when it was hijacked by the radical Left, particularly on racial issues. Strom Thurmond would be a case in point.
Neoconservatives were former leftists (in some cases New Deal liberals, in some cases outright Marxists) who were anti-Soviet, and those who followed in their footsteps. They retain many of their old leftist ideals, from support for the welfare state to Wilsonian foreign policy to liberal immigration law.