Why getting vaccinated for Covid-19 is more popular in the UK than in the US
vox.com
vox.com
I hope you're right and there is no big disparity. The polling numbers referenced in the article suggest that there might though, and that might hinder getting to full herd immunity (or whatever the ideal rate of immunisation is).
The real US/UK difference, if any, will show up over the coming weeks, as eligibility and availability stop being the limiting factor. If the polls predict correctly, the US will slow down a lot, while the UK sails past herd immunity.
Polls are often misleading, since what people say they will do and what they actually do are different -- especially when it can be seen as social posturing. Tiny changes in phrasing can be revealing.