They have distanced themselves from the US with the fastest approvals of Pfizer and Astrazeneca, the smartest targeting of the population (a focus on saving lives by targeting most vulnerable groups first), and the enormously helpful focus on getting some immunity first before worrying about second doses.
The UK is no longer constrained by manufactured doses or anything else. The faster they put that existing supply into people, the faster they are done. They could be done with the pandemic by the end of January.