Your idea of liberalism seems to include membership of the EU - which is a profoundly illiberal organisation dedicated to protectionism, state regulation and technocratic and bureaucratic supremacy over the demos. My issue with you is that you appear to think the EU is something it is not and predicate your arguments about Brexit on that palpably false premise.
So for instance, today the EU Commissioner for Justice, Consumers and Gender Equality called for the EU to be allowed to regulate the press on the grounds that she (a woman who grew up in Communist Czechoslovakia) thinks the oldest free press on earth dares to say nasty things about EU Commissioners and leaders, which 'sows division' (rather the point of a pluralist society, I'd have thought) and ought to be stopped.
https://www.theguardian.com/media/20...u-commissioner
Which bit of 'liberal' would you say state regulation of a free press comes under?