I think the Lubuntu desktop package is called "lubuntu-desktop" and doing a `sudo apt-get remove lubuntu-desktop`
will only remove that one package. So that's good to know.
In either case, I don't want to create a customized installation of Lubuntu with Ubuntu desktop on top of that.
In case I run into issues that are related to that, I would be wasting my and others time tracking down the source of problems.
I will give up here, something I don't particularly like doing, and just assume that my machine setup, which
I didn't think was that complicated (or I should say, out of the norm), evidently, is way too complicated for the
Ubuntu LiveCD and for the Mini.iso to comprehend.
I'm not totally sure about the Mini.iso, but the Ubuntu Live CD can't disect a pre-existing machine
with RAID-1, and an Encrypted LVM.
I will just get used to the Lubuntu setup which seems perfectly fine to me, and install the apps that are missing,
like the LibreOffice suite, Thunderbird, the terminal windows that come with Ubuntu, etc.
I will also pray that the Lubuntu team not discontinue their Alternate install in 2016 when I come out of my cave
again, to upgrade/build machines with that LTS version.
Thanks for reading this thread and helping me out.