I am sure the most annoying thing about breaking a lava lamp is the clean-up. If you must experiment, break it over a large thick garbage bag. I think the flubber is not as thick as you think it is.
Owning a lava lamp simply means that either a) you liked something about it (shape, colours, etc) so you bought it, or b) someone gave it to you as a gift. All kinds of people own lava lamps and it really doesn't say anything significant about them.
Mathmos make the classic retro tube shaped lava lamps and have a website (www.mathmos.com or www.mathmos.co.uk). There are lots of online suppliers if you put 'lava lamps' into Yahoo or Google, and eBay have quite a few of the classic rather than roc...