I completely agree with JIMBOB here. Though I can understand why you want a digital piano.
If you are certain you don't want an acoustic piano but a decent digital, I would up the budget to at least $3000.
I recently tried many digitals in search for the most realistic touch and ended up with two completely digitals and one with acoustic mechanism and digital sound :
Yamaha CLP-990 : wooden keys and very nice specifications, should be tried though, some people don't like the sound, partly due to the frontal speakers. In my opinion this is the best digital to practice techniques, the touch is good and every mistake I made was clearly audible... (not produced anymore but maybe available with large discount in some stores, I could buy it right now for €3000, without discount it would've cost over €5000)
Yamaha GranTouch GT 20 : wooden keys, completely acoustic mechanism, digital sound, velocity of the hammers is measured with optical sensors, the sound is not as good as regular digitals and with advanced pieces (thanks Roxanne

) the electronics cannot always keep up resulting in a slow response. price : at least €4100,-
Kawai CA 1000 or 1200 with the new Awa pro grand action, wooden keys, also frontal speakers, good touch but I like that of the CLP-990 better. price : €3000, the 1200 is more expensive but I don't know the price exactly.
Some people told me not to make too much out of wooden keys but every plastic keyboard I tried, even that of the newest Yamaha (CLP-170), I did not like. I believe it has something to do with the weight distribution. This is all in my opinion though.
But again, nothing beats the real thing.
Succes!
Rgds,
Michiel