I think your bolded part is in danger of mis-understanding and under-estimating the ideals that motivate the Atlanticist neoliberals that have driven the political process culminating in the Brexit vote. From the outset the public 'debate' around sovereignty etc. masked the real ideological differences between neoliberals. Between those who believed in georegionally differentiated delivery of neoliberal goals, (via FTAs etc.), and those with more 'Atlanticist', normative outlook who believe Neoliberalism is best effected by global free-trade unencumbered by regional unions.
The ideological 'base' that lay below the froth of the Leave 'superstructure' always saw the undoing of the European political Union as a means to ushering in a new, purer period of neoliberal acceleration without the inconvenience of regionally differentiated patterns of regulation. To these forces Brexit makes complete sense.