Is it possible to upgrade our cars to 21st century suspension where you can adjust ride stifness and height whilst driving by pressing just a button? I'd really love such a possibility - has anyone heard/seen anything like?

yeah, it's called firestone air-ride...and you have to install an air tank.

Hmm, the only one I can find is for rear only - can you guide? Are there more producers of such suspensions? And is lowriders stuff any close or it is completely different?

There are electronically controlled shocks that you can adjust from in the car , just look around I don't know them off the top of my head anymore.

www.airride.com they have all you need. I saw somewhere they did a report with air and normal suspension and the one on air was quicker thew the track then normal