Which bloggers?
Incidentally, I think "ethnic diversity" is a red herring. Any bloggers who talk about "ethnic diversity" are merely trying to couch their conversation in PC language to avoid ad-hominem accusations of racism.
The issue is not "ethnic diversity". The issue is that certain ethnicities underperform. Specifically, African Americans and Hispanics (30% of the US, 0% of Singapore) underperform. Nonhispanic whites (about 65% of the US and close to 0% of Singapore) achieve mid-level performance. Asians (about 4% of the US and close to 100% of Singapore) overperform.
These effects are HUGE in comparison to inter-country effects. Asian Americans score about 10 pts below Singapore. The EU15 scores about 50 pts below Asian Americans, and a couple of points above All Americans.
http://super-economy.blogspot.com/2011/01/how-well-do-above-...
http://super-economy.blogspot.com/2010/12/amazing-truth-abou...
It is simply incorrect to pretend that ethnic gaps in education do not exist, or to pretend that they do not explain a large portion of the gap between the US and the rest of the [edit: first] world.
Also, it would be helpful if you were a little more specific in your citations. Citing a gigantic PISA reports is much less useful than citing a specific table or figure. I'd love to learn more, but I don't have time to read the whole thing, and I have no idea which parts you are referring to.
[edit: wanted to clarify that I don't think the gaps between the US and poor locations, e.g., rural inland China or India, are primarily due to ethnicity. But gaps between wealthy first world countries do seem well explained by such factors.]