Kylix is known to have problems running on some Linux distributions because of it's dependencies to QT and some Wine libs, i tested it on RedHat9 with kernel 2.4.
Maybe you'll feel more comfortable with Lazarus because it's a true opensource crossplatform ide with native win, linux, mac interface and uses the FreePascal compiler wich is true Object Pascal compiler and supports most Delphi syntax and has some other enhancements like macros and C operators.
I didn't try running with wine, but you might get Delphi to run on Linux using wine or at least your win apps made with Delphi, you might also try winex4-cedega wich has DirectX support if you need it.
Please tell me if this works for you.