Britain doesn't use the Euro, it uses the Pound Sterling so who cares about the Euro? its a non-issue as far as thre UK is concerned. The UK is free to opt out of the Euro and the Schengen agreement as they have done. This is the beauty of Europe, every country can find its own solution while still being one big happy family.
This isn't just about Britain. What it does will affect the whole EU enterprise. If you want to maintain the anti-democatic, right-wing economic enterprise, a vote to remain will be good news.