If you read the complaints and other pleadings that SCO has filed in court, you get the clear sense that, for SCO, this is about money and not about whether proprietary or open source technology should control the world. Such a contest, if that's what it is, is of much greater concern to Microsoft, which has openly announced its support of SCO and its antipathy toward Linux and open source.
As an aside, it is worth noting that Linux has openly invited SCO to identify each line of the kernel that infringes on SCO's proprietary code so that Linux can re-write the affected sections to eliminate the infringement (and the claims that flow from it). Presumably such cures can and will be implemented by the open source community if and when SCO succeeds in proving to a court that its protected technology has been infringed by either Linux or other open source providers.
So, to now answer your question directly, it is at best unlikely that generic open source software will be eliminated as a computing choice; it could simply become more expensive to use. It is also unlikely that the concept of the General Public License will disappear, although it could be affected by some of the issues that SCO is raising.
This was first published in March 2004