DUDE!!!! It's an 800 + pound motorcycle, trust me, downhill turns are nobody's strong suit. That's a poop load of weight riding a front tire, the front suspension is compressed and gravity is a bitch.
A trick I've learned on a heavy bike is to get hip on the turn side slid off the seat a bit with my shoulders a bit "uphill" from there. It kinda counteracts the force to me and helps me keep my eyes parallel to the road and looking through the turn. Hope that makes sense, it's hanging off a tad if that helps explain it.
Oh, I'm all for hanging off, or at least attempting to do that, and I'll take any tips I can get. Here are a couple of pics related to that.
The first is from 11 years ago (on my Valkyrie), when I was taking Lee Parks' Total Control Advanced Riding Clinic. For me, the key -- and I realized this about halfway through that day -- was concentrating on my inside shoulder: get that down, and everything else pretty much followed.
The next pic is from the non-sportbike track day last year, at the track in Thompson, CT. Here, lead instructor Ken Condon is on my XCT, during a discussion of body positioning.
All that notwithstanding, Thompson was pretty flat, Loudon wasn't, and at least I got what I think is some useful practice on the downhill stuff. I'm still more comfortable with uphill twisties but, as you say, that may just be part of dealing with big bikes, physics, etc.