Once again, I see a perfect description of The EU Project masquerading as one of the movement to leave that project.
The EU Project is an entirely fundamentalist, ideological project that has only one direction, one objective, and will brook no dissent.
Brexit is not an ideology, and it is certainly not a religion, less still fundamentalist, as you yourself illustrate when you acknowledge that different people want different things. To some, I would hope relatively few, it may well be a manifestation of a form of ugly ethnic nationalism, as its detractors are always so quick to claim for all of its supporters. Others - and this would include its detractors on the left - see the EU as neoliberal construct antithetical to their own ideological utopian visions, whilst some see it variously as a Franco-German or purely German mercantilist operation which coldly sacrifices the periphery to the enrichment the centre and around which corruption, elitism and even oligarchism are rife and the democractic deficit is yawning and very deliberate, whilst some percieve a cold technocracy obsessed with rules and the homogenisation of distinct cultures. To those latter broad coalitions leaving the EU is both a moral and a philosophical imperative.