I found it delightful.
I first saw it a couple of days ago when someone recommended the article to me. The person doing so (Edd Doerr, President of Americans for Religious Liberty) didn't even mention the caricature.
Having met Dawkins (I had lunch with him during the 1996 American Humanist Association Conference in Atlanta) and having seen his participation (remotely) in various events since then (click on http://hagsa.org/videos
and select the "Neil deGrasse Tyson and Richard Dawkins" clip), I strongly suspect he finds the caricature hilarious. His response, in the video clip, to some fairly strong criticism by Tyson (Director of the Hayden Planetarium) is delightful. I suspect he can accept satire just as readily as he can accept criticism, i.e., with humor and equanimity.
To those few who found the thing offensive, I can only suggest that you lighten up a little. As an active supporter of gay rights since the mid-1970s and, therefore, as one who's had contact with many gays, I'm fairly confident that very few intelligent gays would take offense at the gay rights analogy.
By the way, I never cease to be in awe of how well caricaturists capture the essential features and, although distorting them, leave us with no doubt as to who is being portrayed.