First: the claim is that the world's economic base is shifting to the Asia Pacific - not that it is already there. One reason for this is that these (huge) economies are emerging into consumer rather than producer economies and another that much of the modern industrial capacity for 21st century goods (e.g. electronics) are centered in this area. The Renminbi is a credible threat to the dollar.
The second thing is that this is the perception of the Western world - it is the reason for the Bush and Obama administrations' joint plan for the Pivot to Asia. Maybe our government is wrong - but this perspective is what informs it and is leading its decisions.
The third thing of course is that your dossier is very coarse. It fails to mention the problems in the Eurozone and the financial crashes centered around the dollar. It casts the Spanish economy in good light and the Chinese one as bad. It mentions Canada's growth, but not that it has been driven by investment in China. Curiously, it uses Japan as a comparison for the US economy - a country I would consider on the Western system - and later uses Japan as an example of why the Asia Pacfic is weak.
Finally, economics have more to do with growth than they do with wealth. It does not matter that Asia is not (so) wealthy right now. What matter is that the growth is and will be centered in the Asia Pacific. The investment, global investment, will be there. Everyone wants a piece of the 7%+ pie. This while the Western world, while rich, is struggling to grow at 2%. It is not enough to look at who has the wealth - you need to look at who will be getting wealth.
What Washington thinktanks are talking about right now is:
- How can we get the Japanese people to agree with expanded US military deployment there?
- Can we get S. Korea to reunify with N. Korea, what would China think, and what are the prospects for Korea to become a world power?
- What broad power plays are going to be made by Xi Jingping? How can we prevent China from gaining control of the major ocean trade routes?
- What investments can the Western World make in Eurasia? Can a strong partnership with India, with its emerging economy and large population, enable us to compete in the region? How can we keep India off of the AIIB (esp. wrt coal)?
(And of course a great number of things not related to the Asia Pacific, like how to keep the Arctic as a no-man's land)
So anyway, I'm not actually making the claim that the Asia Pacific is going to be the center for economic growth of the world for the next 40 years. I am more properly making the claim that Western institutions believe this and are responding to it.