have no experience with Final cut, but there are some programs, you could try.
There is Kdenlive - Free and open source video editor for GNU/Linux, Mac OS X and FreeBSD
Kdenlive is an intuitive and powerful multi-track video editor, including most recent video technologies. Our software is completely free, as defined by the GNU foundation.
Check the features here. It is similar to Pinnacle Studio (which is commercial). It is easy to use and intuitive. Some time ago, the users complained about poor stability, but my friend uses it (on Linux laptop) and had no problems, so it was probably solved.
Or you can try Lightworks Beta - professional product, now released as opensource, which looks very promising. Currently it is only available for Windows. Linux version should come later.