The biggest hurdle to getting more vaccine manufacturing capacity online is probably the hysteria around "China might steal our vaccine technology!!!!". There is no other country with the experience of rapidly scaling up manufacturing supply chains. But in the case of these vaccines, especially the mRNA ones, very hard to do without exact specifications of the microfluidics and process parameters needed.
China stealing our vaccine technology has got to be the least convincing threat I've seen. So what if they do? What are they going to do with it? Cure diseases?