...the word "White" is said all of three times. Four if you count "Non-White".
I think maybe you're a little sensitive 
It's partly the mention of "White." The attitude of the people in the comic really gets to me, too. There's also quite a bit of snark in the Hispanics' and blacks' faces. I don't think it's cool. I'm not saying it doesn't have good points. I'm just saying that it has a shitty way of conveying them, IMO.
... well, how should it be conveyed, according to you?
I mean, if you're a person of color (yeah, yeah, inb4 "soshul justice" bashing) who gets tired of explaining why these excuses of wrong, you'd be tempted to make those expressions too.
Oh, and the person who made this comic, Barry Deutsch, is almost certainly white himself.
Point being? I don't care what his race is. It doesn't make me happier about the way the message is being conveyed.
As far as the first question goes: I dunno. Perhaps there's no way to say the shit this comic is saying delicately. However, if the author was able to discuss his thinking and respond to criticisms, then maybe I'd feel a bit better.
There are plenty of people who already respond to the kinds of arguments he addresses in the comics. He's a cartoonist. His intention was mocking them, not writing a thesis paper to take each one down.
I would also like to point out that he was not mocking you or I for being white. He was mocking some white people for using cliched excuses.
This is like a theist seeing a comic that mocks common creationist arguments and thinking it's a mean, condescending attack against him specifically. Just because you're a theist doesn't mean you're a creationist or put forth dumb arguments, but the dumb creationist arguments are the things being mocked, not theism.
I can see how privilege comes into play here.
Part of the problem being that those who have privilege rarely ever realize it much less acknowledge it.
And for that don't have it, privilege is glaringly obvious. So to them, how can anyone NOT have noticed it?!
Which often means that those without privilege angry at the other for being willfully obtuse. And the privileged side gets defensive because they think they are being unfairly attacked.
Look, the fact is people DO use those arguments. Whether any certain individual has used that argument is not relevant. Others have used them and those arguments are designed to buttress a system where White people benefit and others do not.
And NO, a person does not have to personally be racist to benefit a racist privilege. That's part of what makes it so insidious.
