I view it as an ideological battle. Who has sovereignty in the United Kingdom? Who is in charge? Its the most important thing you could fight for. If you aren't in charge and someone else is, now whatever they say goes. You have no say on anything else anyway. You'll be dictated to.
Now, we are led to believe, that the people of the UK are sovereign. Not the Queen. Not Parliament. The people. And once every 5 years they vote and place sovereignty in the hands of representatives to run the country for them. The law states that sovereignty must be returned in full to the electorate 5 years later so that they have the ability to choose who to represent them next. We have a Parliamentary democracy. This is important because our politicians have been giving away our sovereignty without our permission to the EU. They can't do that. Its against the law. Cameron rightly said ... well if the EU wants these extra powers, you have to ask the people for them, they aren't mine to give. The people said no. Parliament is trying to give away the people's sovereignty without their permission. Its not something parliament can do.
Ever since the Maastricht Treaty of 1992, which created the modern EU, there have been those calling for another vote to take into account how things have has changed, with Eurosceptics claiming that membership now represents an unacceptable transfer of powers from our Parliament to Brussels. It has been a running sore for the Conservative Party in particular, with many MPs and much of the membership never fully reconciled to our membership.
That's why we had a referendum in the first place. If we said yes, we want to be members, we would have consented as a people to giving Brussels power. That's why it was a matter of referendum and couldn't just be passed as a bill. MPs can't give away sovereignty, only the people can. Same for Scottish referendum. A transfer of sovereignty from Westminster to Holyrood. The Scots chose to leave sovereignty with Westminster.
Now, with that said, parliament therefore does not trump the will of the people. If the people vote out, parliament cannot and should not be able to stop that. Parliament are representatives, not dictators.
However, parliament has decided to ignore what the very people who placed them there want them to do. They have created a paradox. They claim "we are in charge because the people who are all knowing and all wise put us here" and also claim "the people have no power whatsoever and don't know what they are talking about and we'll ignore them and do what we want". Remainers are legally in the wrong. They are trying to transfer power without consent. To steal the soverignty of the British people.
So when you say "Sure, there's a side that comes across to me as more reasonable, but they're also the only side that will normally talk to me." ... how are they more reasonable? How is giving away sovereignty that is not yours to give reasonable? How is ignoring the will of the people in favour of a tyrannical parliament reasonable? How is ignoring a democratic instruction reasonable?
Something you must consider. We shouldn't have entered the EU without consent in the first place. They should have had a referendum in 1992 to ask if they can give away sovereignty. Its not a question of 'should we leave?'. They have no permission at all to have placed us in the EU. They have been caught acting against the interest of the people. If we'd voted remain ... it would have been all over forever. The EU would have the sovereignty of the British. But call it the wisdom of crowds or whatever you like ... the British said no fricking way. And that must be respected.
This is also why 'the deal' is unacceptable. You can have a deal swapping tarifs and access and whatever else. But you can't swap sovereignty. Its not your to give. No ECJ. No Customs Union. No Single Market.
And you see, this is the wicked and cynical thing about the EU. It is not a nation. It doesn't need anything. It doesn't need British fish or German cars. It acts as a middle man. It says "we'll swap access to British waters for lower tariff German cars ... and as middle men we'll take a little something from both of you ... power". That's all the EU wants. That's all it will trade for. It doesn't need to trade for anything because it is not a country with citizens. It is an entity that only desires power over Europe. Why is every deal about handing over powers? Why can't we just have trade deals? Answer: Because the EU doesn't need anything via trade. It only wants power over you. If you won't give it that, it won't trade.
*as an aside, when we have a perfectly good political forum, why would you choose complete nonsense as a place to debate such matters?