When quotes are put around words, as you did, this means it is a literal quote of what someone said, not something roughly paraphrased, to make it sound worse, or better. Being curious to find out what he actually said required picking through several pages of the misquote you posted here in a Google search. So today, it isn't so much what you say as much as what someone can make it look like you said, or believes is what you really meant. An awful lot of what passes for debate on these forums follows that very template.
The media covered the comments thoroughly and they seem to have widely arrived at the same meaning as I did when I heard the remarks. Many even quoted his paraphrase as I did. Not saying it's right, but it was pretty common.
If you arrived at some different meaning that I implied, please share.
Also, all this nonsense is about that one example. I could easily grab a few more, as it's far from a unique situation. People simply like to play the race card at every opportunity. I've been in the workforce for a long time, and I've sadly seen too much of it. (in both directions) Usually it's generally harmless, fortunately. ie A water-cooler discussion regarding why someone got a particular job/promotion, or why someone didn't get a promotion.