Those are very different concepts.
"Unlike so many other countries, we integrate and assimilate our immigrants"
What does 'diverse' mean to you? Since I don't think it means what you think it means. Assimilation is a process which reduces diversity.
Also, in that list the US is indeed #1 ... in the total number of immigrants. If you re-sort by "Immigrants as percentage of national population" then it's:
UAE - 83.7% (but I don't include guest workers)
Saudi Arabia - 31.4%
Australia - 27.7%
Canada - 20.7 %
United States - 14.3%
By all metrics, it seems that Canada has both a more diverse culture than the US and a higher percentage of immigrants than the US. That's the country you should be praising, not the US.The main factor in all of these numbers is that the US has a high population. Once you switch to per-capita, it drops in the ranks.
Congratulations, there's a lot of people living in the US.