I don't think you can do
everything in 2 days--these are weekdays, right? I'm not sure what park hours will be then (they could be on low season hours, which could be as short as 10 AM - 8 PM!). It
may be possible to do every ride if you really try, but by running from ride to ride, you'll miss a lot of the atmosphere.
But that said, you can probably hit all the highlights and everything that's substantially different from WDW. (For example, MuppetVision, It's Tough to Be a Bug, and Captain EO could easily eat up an hour of time, and more if you timed them wrong, which would make a difference if you end up "only" having 20 hours of park time...but they're just like the ones in WDW. Ditto Soarin', aside from the wait area, but Soarin' is cooler.
)
Now, I visited WDW (summer; long hours) and saw everything I wanted to see in the Magic Kingdom, about 70% of Epcot (including all the real headliners), and almost 50% of Hollywood Studios, in 2 days. (Saw Downtown Disney the third day.) WDW folks will say there is no way to do the parks in 2 days. In one regard they are right, but in another sense you can really get a TON of stuff done in 2 days and get a very good sense of the parks.
I don't know your party size but if your party is small I'd keep an eye out for ticket deals. If you could get a 3 day hopper, even if you just used it for a few hours your departure day, you could get a lot more done. You'd also get a Magic Morning to get into Fantasyland and Tomorrowland an hour early one day; in your case, probably the 23rd. But I can see where the price difference between 2 and 3 days may be prohibitive.
(I always upgrade so I can go to the parks the day of arrival and day of departure, but that's taking me from a 3-day hopper to a 5-day, which is I think $32 more to get 12+ extra hours in the park, and it's just me. Obviously paying $40+ each for several people to get maybe 6 extra hours is a totally different matter.)
Have a great trip!