It's easy to grab total numbers but America is physically far bigger than most other nations. If we look at the numbers using a more consistent frame of reference, the picture changes a little. The Net Migration Rate counts the number of immigrants per 1000 of population. In 2023, these numbers were:
UK: 2.240 down 12.91% from 2022
New Zealand: 2.523 down 4.76% from 2022
US: 2.748 down 1.29% from 2022
Australia: 5.173 down 4.54% from 2022
So the US isn't exactly hurting relative to many other nations...an extra half a person per 1000 of population between the UK and US figures doesn't strike me as particularly large. And for all 4 countries, net migration actually decreased in 2023 compared to 2022.