Doing a player-by-player analysis:
Openers:
Warner > Cook
Rogers > Lyth
First one is borderline, but up until recently Cook's form had been iffy....whereas Warner's been killing it at Test level for about 18 months. Question marks over whether Warner can handle English conditions, but Cook's record against Australia (2010/11 notwithstanding) is pretty poor. As for the second one....Lyth is still untested at Test level, whereas Rogers has lots of experience in English conditions and has proven to be very solid in his brief Test career.
Middle order:
S Marsh < Ballance
Smith < Root
Clarke > Bell
M Marsh/Watson < Stokes
I don't know who's gonna bat 3 for us....but if it's Marsh or Watson they aren't likely to be convincing....and Smith's untested at #3 and I'm skeptical as to how well he's suited up there. That said Ballance is no great shakes either....against strong bowling attacks he's been exposed and I expect us to bowl well. Still I'll give the edge to Ballance as he's more likely to play significant innings than Watson if he does get going, and isn't prone to a random shocker as easily as Darsh is. #4 is basically tied....in England I barely favour Root. Should Clarke bat 4 and Smith 3 this decision becomes a lot easier. Clarke is patchy and may only play a couple of significant innings in the series but Bell has been pretty meh for quite some time (2013 Ashes notwithstanding). If Bell wakes up that could easily decide the series. Stokes is the better all-round option than Mitch Marsh or Watson at this stage assuming he bats 6.
Keeper:
Haddin > Buttler
Tight, but Haddin's done a lot more in his career so far so for now I think he's still the better option despite being pretty dire with the bat away from Australia. Buttler is promising but I can't really think of many innings of significance he's played.
Bowlers:
Harris > Anderson
Johnson > Broad
Hazlewood > Wood
Lyon > Ali
Anderson is excellent in English conditions...but Harris has the better ability to get his man out so he narrowly has the edge. Johnson's record in England is poor, but he also has a physchological edge over many of England better batsman. Broad is obviously dangerous but he hasn't bowled very well recently....I'd give this battle to Johnson but Broad waking up and making me eat dirt would not the least bit surprise me. Hazlewood is a perfect 3rd seamer for our attack and I can see him being very dangerous in these conditions....Wood hasn't excited me as much - this is probably the main difference between the two attacks. As for the spinner, I'm a bit skeptical of how well Lyon will bowl given that English wickets are generally less true than Australian ones....and unlike the majority of offies Lyon's not great on slower wickets. That said, Ali's prone to lacking control and a consistent length....to me you still can sorta tell that he hasn't been a true bowling option for most of his career, and I'd probably take Lyon's bowling at this stage over Moeen's. As for the lower-order's batting itself, Moeen is obviously a better batsman than anyone in the Australian tail but you'd expect a lot more resistence in the Australian tail, especially given Broad's recent "showings" with the bat.
So 8-3 Australia, but a lot of the calls are lineball or basically tied. Another person could easily argue that one person who I've thought was inferior is better. Could be a very crazy series depending on who shows up.
I'll be interested to see what kind of pitches England throw up. I think the slower the better for England, but on days that it's sunny I'm not sold that they can effectively exploit it in the same way Pakistan did in our tour to the UAE.