Even with no other mods, going from 3.55 to 4.10 gears would be a dramatic improvement in measurable 0-60 both empty or loaded or towing. You'll feel and measure the difference at any RPM, at any throttle position. You'll feel the truck being much livelier even off-idle just accelerating mildly from a stop. Climbing any on-ramp, hill or mountain becomes a more casual affair rather than a strain.
Numerically higher gears help the engine at all times, both mundane driving and hard driving.
I don't think any of this would be true with shorty headers -- their advantage is at the top end. For everything else, mild-to-moderate driving and towing, the factory headers breathe extremely well. Dodge's factory horsepower and torque are very high. Do you think they accomplished that with a restrictive exhaust?
Motor Trend finds 0-60 was just 5.7 seconds in a short-bed 4x2 Ram that had the 4.1 rear axle, while 3.55 rear axle models have had 0-60 times 6.1-6.4 seconds. When you're starting with a vehicle that already does 0-60 under 7 seconds, another half-second reduction is hard to get with engine bolt-ons.
You might have more of an issue with occasional tire slip due to the better gearing, but you probably have limited slip diff and you have a 4x4 so I assume that won't be much of a problem.
(I assume part of the gear swap will be updating the engine computer with the new ratio information.)