One can be for free movement, free trade, peace and 'growing together' without being Pro-EU.
The EU is not a abstract entity that only lives of ideas. Its a concrete implementation of these ideas (and many others). This implementation I judge to be deficient. The issues are to many to list here, but I just wanted to state the principe.
Europe can achieve most of the things you want without the EU. Switzerland has many of those things with the EU states. You can easily have all these contracts as bilateral contracts that everybody signs. Then you can do the joining and leaving independently, creating much better incentives for both the people who create the contracts as for the participants in the contract.
Their are already tons of things like that, and their could be more. Look at ESA for example.
> This is not always easy, and it means, that the richer parts have to give to the poorer, but that is just basic humanity.
You totally falsely imply that the richer part "HAVE TO" to give the poorer parts money to achieve these goals. That is totally false. Only with a currency their is a real issue and that is solvable even if you want a common currency without massive redistribution.
What you are doing is deceptive, you are making a operational argument for a issue that relates to moral. If we choice this kind of redistribution, we should do it based on MORAL properties and not operational issues.