I've seen many Weekend Warrier toy haulers with Jeeps inside, and their ramp doors are rated as follows:
"Radius Ramp Door- rated 3000 lbs per axle"
I found that on the Weekend Warrior website. Assuming yours is similar, in that it's a per-axle rating, then you should be fine. I'd suggest you call the manufacturer of your trailer back to see if their 3200 lb rating is for the whole vehicle or per axle. My assumption is per axle, but it would be nice to know for sure.
2006 Black Unlimited 6-speed, Rubicon Express 5.5" Long Arm Kit