The example I gave of Japan is not voting corruption, it is making it harder to vote by making it difficult to know when and where to vote, thus making it harder to vote.
As for America being the most respected, the only evidence the white house had for that was a single poll comparing the US to China, Russia, the EU and Germany and America ending up on top out of 1000 people polled in different countries.
No other poll agrees with that. Since that is a lack of evidence and those 30 something countries included in there aren't every country on Earth, it is fair to say America is not the most respected country on Earth.
As for America being more respected now than 8 years ago, I can't find any info saying that the US is seen more positively. What you critique me of misunderstanding, Politifact also doesn't address.
In the article they say:
So they say Obama can't back up that America is more respected and seen as strong by almost every country when I can provide 3 concrete examples of America being seen as less strong and less respected in 3 key areas of US foreign policy.Obama said, "Almost every country on Earth sees America as stronger and more respected today than they did eight years ago when I took office."
The general sentiment that the United States is viewed more positively around the world is supported by three different sets of polls, but they don’t specifically talk about strength or respect.
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My final point:
Politifact cuts Democrats more slack than Republicans. That would be fine if they didn't judge things on a true-false scale.