This isn't about being right or being wrong. It's not like you're going to argue and suddenly I'm going to say, "you know what? I'm too thin-skinned, or whatever." I'm also pretty capable of noticing the photo attribution in the original article.
Still, if you were running an article about abortion I don't think it would be appropriate to show a stock photo of a lady's crotch, despite that being the relevant body part.
I'd also challenge your supposition - "the increasingly obese world is a problem to solve". It's flawed on a few levels, from framing to finish. The linked article, for example, points out the increase in obesity rates from 1980 to present, without noting that the definition of "obese" changed in the late 1990s. Overnight, our "obesity rates" went way up, despite people being the same size. Naturally more people will be counted as obese now then as then, even if people weigh the same. Even if weight is going up over time, it's just as bad as showing a few years of climate data and claiming global cooling. Reactionary article and misleading infographics, from USA Today? Gasted, my flabber is.
Look more closely or apply a skeptical frame of mind to the underlying claim: "being fat is bad". There's a surprising dearth of scientific evidence to support this. There's plenty of nutritionists (who have a conflict of interest) who will tell you about that, but a great deal of common knowledge about the negative effects of being fat derive largely from prejudicial thought, and not from scientific evidence.
I'm clearly not going to win any debates on this topic, but I would count it a positive sign if people were less blindly accepting of fat === bad, obesity === epidemic. There's a lot of subtlety there. Sure, there are fat people with less health than skinny, but there's plenty skinny people who are disordered eaters or have problems related to their metabolism as well.
The american (and global modern imperial) relationship to food is a complicated one (probably actually complex). Reductionist approaches do nobody any good. So yeah, let's talk about it, but let's talk about the whole package: understanding health and food and opportunity and all that. Let's not presuppose.