Should be a decent buy. You won't regret the bigger rear axle, 4.10s or bigger brakes.
For occasional towing you won't hate the motor THAT much. My buddy's avalanche with the 8.1 gets 8-10mpg. Towing anything from a grapefruit to a huge camp trailer he still get 6-8mpg.
I can almost guarantee your Wrangler is close to 4k lbs. My yj is 3900 and it's as close to stock to matter.
My tj with no top, no back seat, no doors, no interior, no spare, no extra anything, no fenders is 4200.
My 2 Tandem trailers have been 1500 & 2000lbs.
Add recovery gear, extra fluids, a spare or two (not a bad idea with trailers...) Camping gear, etc my tow has easily hit 7500lbs
Add a few passengers and their gear and a lot of half tons are close to topping out.