The idea of 'neo-cons'
In the aftermath of the 9/11, the liberals and anti-war activists frequently used this term to mean explicitly the idea and actions of "ultra-conservatism" in the American politics specifically. Without arguments, one could put the meaning, what is meant by them, in a straight expression like -- "fundamental nationalism + fundamental religious-ethnicity + militarism = neo-cons". The term 'neo-con' does never mean something as "converted conservatives."
Adapting the 'neo-con's typical meaning in the case of Bangladeshi phenomenon in a personalised fashion is a mismatch.