The UK overplayed their hand to the point where for the EU, Brexit was the better of bad choices, but it is wrong to think that we do not need the UK. Losing one of the largest economies in the world with one of the best militaries is certainly a major blow to the amount of power the EU can project abroad, and the new trade barriers have also negatively affected both our economic projections. Looking at percentage of world GDP, the EU's share (well, today's members) has been steadily declining since the early 90s, while the US stayed constant at around 25% of global GDP and developing countries, mostly China, has a much larger piece of the pie.
Long-term, the UK's idea of more closely alligning with its former colonies might actually not be so bad, as there were always strong limits on how much the UK could do within the EU, and how much it would be willing to take. Demographics and stagnant politics aren't really pointing towards a rosy future of most countries in the EU. On the other hand, with the UK gone, the EU has the chance to go ahead with a couple of projects, including federalization, that before would have had a strong vote against from the UK.
Overall, we are all worse off, and currently being in a long-distance relationship UK-Germany, I'm just really saddened and frustrated by the things happening.