The club thing is a metaphor, not even an analogy. Essentially it means, there are different rules for doing things in the EU for people and companies that are from it or from the outside and UK is now from outside and as a result will need to deal with the stuff for outsiders. Why there are different rules? Because within the EU we have agreed on how things should work, with the outsiders we don't have such an agreement therefore they can do whatever they like as long as the stuff that comes to EU or affects EU citizens directly needs to happen according to the standards we decided to.

As a result, this will bring you the opportunity to do your own thing like all the outsiders out there, like produce and eat chlorinated chicken, put asbestos in kids toys if that's your thing but you will be required to prove that you are sending the un-chlorinated ones to EU. That's why you have checks and paperworks at the border, it's not to piss you off. Anything that's happening currently is the logical outcome of Brexit, it's not a conspiracy to make life hard for the British. We love UK and the British culture, that's why we are so sour about this "We are better than the EU" thingy. Seriously, besides some jokes and snarky comments, no one wishes bad things to the British people.

Anyway, so since you left, when do you expect to meet the friendly, cooperative people who don't insult you for expecting unreasonable things?