Thanks for the help. Yes, I will contact Bob @ Michigan Iron, and post here what he says about how to do this repair using the new part.
I'm pretty sure Robert at MIE sent you the right part. Your new cooler looks like what I've seen on newer tractors. The foil over the holes is just to keep contaminants out until installed. Remove them prior to conecting the hoses. The bolts holding the hoses on the cooler are called banjo bolts and fluid travels through them. There will be a rubber o-ring under the head of the bolt that seals on the top of the hose end and another rubber o-ring under the hose end that seals against the cooler. I still have the old style cooler with the same hoses as yours. If you can loosen and rotate the hoses so they can mount properly that would work but I think the hoses would now be bending or leaning forward and they're pretty stiff. Kioti may have also made revisions to the hoses for the new wider cooler and have shortened the horizontal metal section at the top of the hoses to keep the rubber part of the hoses perfectly verticle. I'd give Robert at MIE a call and ask if there was a change. If you find out please post the info. I may be in the same situation as you. I don't remember any member posting what they had to do when going to the new style cooler with the existing rubber hoses. I do remember a dealer mentioning that when you change to the new style cooler, you need two hoses but it wasn't explained if the new hoses were to replace the old style full metal lines or you would need them even if you already had the rubber hoses on the old style cooler.