True, a lot of the larger sedans get up around small SUV weight ranges. But those are pretty much the largest and heaviest cars compared against smaller SUVs.
Please note though, I’m not advocating everyone move to a 2000lb hybrid car – just pointing out flaws in the argument that “SUVs are safer”. I’d hardly be believable, since I drive an Infiniti G37 which usually gets around 19mpg.