On my BX, I use the 3" 10,000 lb rated ratchet straps. I have never had one loosen up, all of mine are less then 3 yrs old and I check for frays when attaching. My BX has no backhoe, so it is a bit lighter and I don't feel chains are necessary. We use chains and binders on all the heavier equipment, but I feel the straps are fine for the BX and they don't scratch it all up.
I would not use those 1500-3000 lb ATV straps.....I use 4 of those on an ATV, but the ATV is under 600 lbs, the BX is about 1800 I think....yours is quite a bit more I bet.
I guess my question about the rating of straps was, if I use 6 1500 pound straps, was that acceptable? Since the combined was more than 3000 lbs. But the more I think about it why chance it when the straps needed to do the jobs don't cost that much compared to the price of the tractor.