I do not think that all other countries should aspire to our standard. Instead, I think that we and other countries should aspire to a higher standard than we have so far achieved. Our standards are quite good, but they are not ideal and so I do not think that other countries should aspire to be exactly like us. We can all do better.
For example, many countries would say that we fall short on issues like crime and punishment. We imprison more people than other countries do and we are one of a very few "modern" countries to still have the death penalty. In addition, we have problems with completely integrating women and minorities into our society.
I do believe that there are universal human rights that all countries should aspire to. However, I do not think that we (or anyone else) has yet achieved them.