Generally everyone I know acknowledged that the UK was better off in the EU or while there may be flaws in EU policy at times, the chances of the UK government doing anything better was so unlikely that they couldn't support Brexit out of principal.
As has shown, most people's concerns that Tories are terrible at handling government policy have been well founded. We shall see if Boris gets evicted before the next GE, we should be on a roll then if not a single PM has lasted a full term for a decade?
Although I don't know any liberals that supported Brexit, that was conservatives that wanted rid of red tape (pesky regulations like maximum working hours) and unions that wanted more red tape than the EU would allow. Unfortunately for the Unions, they voted for Brexit but aren't in control.
Unions are not the same as liberals.