hm, I don't know about the interfacing. What all is shown on the display?
It looks like the best option for you might be to keep the stock headunit so your steering remote and the display still work, you can run the speaker signal through a set of line output converters to turn it into a low-level rca signal, which can then feed an amp or 2 for your speakers. Simply, you'd be replacing everything but the stock cd player.
Unfortunately I don't know what all is required to get the speaker signal from the stock headunit, I imagine it's like a normal unpowered headunit, in that it sends out the signal through several speaker wires which run to an amp for the speakers. Last I heard though Bose used a common ground for all the speakers, so only one wire was run to each speaker, if that's the case maybe you could use a ground as the - going into the LOC. This could be wrong though, it seems like every Bose-equipped car is wired differently. If you could find the speaker signal and tap into it somehow, it should be pretty smooth sailing from then on. I would look around for an FSM or Haynes manual, hopefully that could clear some things up.
I wish I could recommend some brands for the speakers, amps, and sub(s), but unfortunately the best choices for each item depend on the budget, but then again you don't know where to set the budget without some ideas of what you can get for how much....it's a vicious cycle. You're going to pay a lot more for equivalent sound in a car vs home though, it would take $2000 in a car to compete with a $700 home system, it's pretty depressing in that regard, but we do what we can.
Just to throw out some numbers though:
it will probably take around $700 to match the Bose system
$1000 is what I consider a "budget" system
$1500 is good
$2000 is very good
$3000 is getting into some extremely high quality stuff, possibly competition level
$4000+, with a good install and a LOT of tuning, and you could be very competitive in sound quality competitions
These numbers include a headunit/processor though, so you can knock the numbers down a bit since you won't need a headunit. Those are also with the money spent wisely, you couldn't be competitive in SQ with a $2500 sub setup, $1000 dvd player, and $500 in your front stage.
I'm just trying to give you an idea how much things will cost