Where the weight is distributed on the trailer is important too. I've pulled a lot of cars with our '96 2wd Tahoe, some from out of state (3 hour trips). It's set up with a trailer brake controller, it's lowered a couple inches, and we've added a Suburban rear sway bar. Used to have a heavier 18' steel tilt car trailer, but now we have an 18' aluminum trailer, both were dual axle. If we load the trailer properly so there's the right amount of tongue weight then it pulls fine and is stable, even at 75 mph on the interstate. Too much or too little tongue weight will make it very unstable.
Here's a good visual of how the weight distribution affects stability.