For soundproofing you need dense materials with lots of mass. Things like mass loaded vinyl, rockwool sheets, or even full-on room in a room. It can get pretty expensive [0]
I agree with the other commentor, a nice digital piano with headphones, or speakers you can adjust the volume out of would be the best option.
[0] http://www.amazon.com/Loaded-Vinyl-Square-Acoustic-Barrier/d...
http://usa.yamaha.com/products/musical-instruments/keyboards...
The action is the same but the way it reacts and sounds isn't, and at least for classical music, learning the nuances of the sound (and pedal!) is the hardest part..
The "make it sound like a wood-and-felt-and-wire piano" issue is solved. The "make the key action feel like a physical piano" is (based on my extensive side-by-side testing) close enough to solved that -if one's concerned about bothering the neighbors with the sound of your playing and one has the money- purchasing a good model is a no-brainer.
I guess I am relatively serious for an amateur but the piano is a very difficult instrument to master and so I just feel like since I have such a limited time to practice I rather make that time as effective as possible. That means playing on an acoustic and thus making a lot of noise sadly..