Is this shift from Europe to Asia(minus China) inevitable now?

Without a strong federal EU, it seems that Europe is a collection of minor powers with a low birthrate, an economy that seems mostly dependent on legacy industries(Veblen goods, tourism, and protectionism... yes I know about the few and far between high tech industries), and an inability to unify even under dire conditions.

Asia is no masterpiece, declining birth rates and have even fewer minor powers. However their economies seem to be more relevant to the modern era and industrial based + they have a strong neighbor that could cause unifying.

Books over the last 100 years have been talking about the decline of Europe, there even seems to be an outspoken pessimism both inside and outside Europe about the future.

At the same time, I have a hard time seeing the growth of Asia being so impressive that it becomes the new center of conflict. Europe has such a head-start. My only imagination would be that India steps up, but predictions about India's growth continuously are not met.

My questions are: Is the shift from Europe to Asia inevitable? Do we include India in the question about 'Asia'? Given declining birthrates, a vast variety of cultures, and minor GDPs in Asia, why do people think this shift has happened?