Welcome to this fabulous hobby - as you're finding out, these plants grow well in temperate zones (at least in the summer). Once you get these down, you'll want to expand your collection to include cold-hardy stuff, too, but what you have is a good start.

1) Because they worship at the altar of Mammon and don't really care about the plants.

2) Warmth, some air movement and bright light (most of the day), along with a daily spritz, will get these cacti pieces rooted - then you can pot them up.

3) Pictures would be great, but that sounds all too true - they're called glufers and I hates 'em forever (said in a Gollum voice).

It sounds like you're doing things right - you might look at some of the posts here which have lots of responses, as it offers you a greater chance to turn your sponge into a Shamwow and get a lot of exposure to these plants of ours.

I meant 'way of life'.

And I meant to tell you two things - Aeoniums are for the most part summer-dormant, so go light on the water (when you get more experienced and have a collection of 35 of different Aeonium species you'll be able to differentiate between the sleepers and the growers of summer).

The Mamm may need that cold - it depends on the species. Most cacti do benefit from a dormancy, and that care you had suggested to you would work most of the time. It all depends...there are many variables, but some general rules. When in doubt, don't (wrt watering), store-bought cactus soil is never porous enough, you can't have enough miniature Agaves are three that come to mind.

Ok, so with propagation, I should ignore that it states it should be kept in shade?

Also, what do you recommend on my dish garden? Move to a cooler room for the winter in an east window or keep it where it is? My small Mamm is gorgeous and has pretty pink flowers with a lemon yellow center and smells nice. I'd hate not to have it bloom next year because I did not allow it go dormant. Do ya think if I move it so the Mamm can go dormant, I could then just spray the Haworthia Fasciata and Echeveria with water being careful not to get the Mamm?

Your Haworthia fasciata is almost certainly Haworthia attenuata - the first is very uncomon, while attenuata is very common. Attenuata is also a lot easier to grow and much faster growing! A lot of older books, or books written by people who realy did not know that much about succulents, used the name fasciate for plants that were really attenuata.