The guys in the pulling game have adapted limited slip Dodge Dart rear ends to their tractors but I don't think that you will like the cost.

You should load your rear tires with beet juice also known as "RimGuard". That will give you a bit more weight per tire than using windshield washer antifreeze or RV plumbing antifreeze. I would also add another 200 pounds of weight directly behind the axle and as close in as I could get it. You don't want that weight to act like a counterweight and lift weight off of the front tires. You want that weight bearing directly down on the rear tires.

If you are on ice, then tire chains on turf tires work far better than the Ag tires you apparently installed. I'd forget about swapping rear ends and focus more on maxing out the weight on the rear tires.

Chains and weights - you need more...plenty of folks have had great success with these machines plowing snow

I have a set of chains already. I was just tired of going out on a cold day and installing them. Thought the ag tires might work. I think I can come up with some weights. I'm a pretty big weight myself.

And there is your excuse to tell your wife, when she suggests going on a diet!: "Oh, Honey, I'd love to lose weight, but then we'd have to hire somebody to plow us out, and you know how much that will cost!"
EAT ON, BROTHER!

Maybe plan ahead and put them on prior to it geting cold? most folks prepare prior to it actually being needed.
Operator weight really isnt effective - just causes more doctor visits - it just dosent provide the weight where it matters most - directly on the axle.

Either chain up, add weight, or have crappy results. its up to you now :) good luck

Your chains are unlikely to fit the Ags and are not as effective as they are on the turfs. Big weight is the solution whether you go with chains/turfs or Ags.

How deep was the snow and how heavy?

It often pays to plow mid storm.

I have chains on my tires and i put a 10 inch bolt through the hitch and stacked about 115 pounds of gym weights on the back. I have not gotten stuck yet and i plowed last storm we got and we had 20 inches!

there is a company called midwest super cub. they sell a spool for the cub rearends. i run them under fourty plus horsepower pulling mowers. they cost around 200 dollars. you can also just take the carrier out and weld the gears in the carrier together and it will lock the rearend, but the spool is stronger.

I checked out the reference to MSC and found that it relates to Garden Tractor size "pulling tractors". A solid locked rear end is ideal for that type of straight line pulling in that motorsports setting, but a spool inserted or welded differential gears will both produce a tractor that is impossible to steer, unless you have 40 acres to turn in. Welding or any other means that defeat the differential action will kill the ability to steer normally. Weight over the rear wheels is the key to obtaining traction while still being able to steer.

Why anyone would recommend welding up spider gears or inserting a spool to lock the rear end up is mind-boggling. What a totally useless piece of advice for this application. Tractors are already difficult to steer in winter conditions. jblankship's suggestion takes steering from "difficult" to "impossible".

By the way, I really good tricked I learned from one of the online forums is to jack up the tractor and put the chains on while the tire is not contacting the ground. I makes it a LOT easier and I will never go pack to the other way.

The other thing that some people find contradictory (but the physics is sound) is that the narrower the tires the better the traction in snow.

My 1964 tractor with narrow tires and no chains is almost as good as my 1969 tractor with chains.

I make it easy on myself, I have ags for spring/summer/fall and then switch to turfs with chains and weights for winter. There on different rims and never take the chains off. I found the ags on a set of rims at a local tractor show fairly cheep and it makes life a whole lot easier.

Well Wheelhorse and Compressor I'am 100% behind your logic . Having Plowed Snow Commercially in my Teens Proper Tire Selection (Size , Tread ) Configuration will benefit enormously . The Narrower the Tire the More Ground Pressure (Traction) Applied . The Turf Tire Tread gives more Tread in contact , also the Circuferance (Contact Patch) is important. I alway utilizied a 3/4 Ton Truck with 16 " Rims and Uniroyal Larado Block Design Tread with the narrowest 10 Ply Rating I could Buy. Same applied with our Agricultural Tractor , used sound physics , Calcium Choride with RV Gycol to prevent freezing with the AG Tires c/w Chains and never got stuck , using the from blade as a lever , you always could inch your way back out lol ! With your smaller Garden Tractors weight bias probably is paramount ? ..Ty .

Seems the ag tires were a step backward in my case. I used to use turf tires and chains and had very little problems. I'll probably go back to them next winter. I think I already have enough weights but I'm going to build a bracket next to the axle and install some more. I haven't had to use the tractor yet for snow this year. we've only had about 4" here and my car can handle that much.

It all comes down to economics ! Most people cannot afford two sets of tires ! Sure helps though when Mother Nature Co-operates..Huh ! lol .