I don't think rioperro has a Yukon, pretty sure he's talkin' about one of the cheaper Igloos.
Cutting of the molded handles would be a really bad idea, it would loose it's seal and much of it's insulating ability, not to mention get water inside and saturate the foam.
On a molded handle note I have a cheaper Gott 150 qt with them (pretty similar in appearance to the Yukon really) and I was surprised that it fits perfectly between my tubes, almost like it was made to fit there. It was a gift and my first impression was waste of space but it turns out I like it. Moral - check out the dimensions or dry fit one - it may fit really well...
"If you dont do it this year, you will be one year older when you do"