It is possible that it is too difficult to bother with.
If I understand your question, you have a live CD (its probably a Live DVD or several, if you have 30 G) - probably something like system rescue or a sys maint CD and that has masses of tools. Essentially, the fact that these are tools is irrelevant; they are apps that are installed in that live CD.
If you have the sources, you could rebuild the tools for some other distro. You may not want to if you could more easily download the tools from the net and not have to rebuild. OTOH some people consider this to be fun/a challenge, and if you are one of them, then the consideration of difficulty may not apply.
If you have the package files (.rpm, .deb, etc) and your main distro uses the same package flavour and they are built against the same revisions of libraries that your main system uses, you could install them, but it still might be more problematic than its worth if you have to sort out dependencies manually.
There is also the possibility that you could use alien to convert from one package format to another, but you will still have to worry about dependencies, library versions.