Of course, from what *I* understand about stem cells, injecting yourself with them all willy-nilly is as likely to lead to cancer as it is to a positive outcome. Or possibly growing an eyeball in the affected area. I bet Rick Perry will come to the taxpayer for some of that awesome government health care that the rest of us can't have, if he's suddenly afflicted with a case of back-eyeballs.
While Rick Perry with a terrible case of back-eyeballs is an amusing picture (and I look forward to seeing it on the campaign trail), that's not really how stem cell therapies work. You see, there are stem cells, and there are stem cells.
Fundamentally, stem cells are any cells that are capable of self-renewal -- that is, they can divide to make more stem cells like themselves, as needed. Most are also capable of some sort of differentiation: their daughter cells can form other cell types. The range of cell types that a stem cell can spawn (differentiate into) depends on the type of stem cell you're dealing with. The kind of stem cell that can differentiate into heart muscle, or nerve tissue, or back-blood cells, or back-eyeballs, is a pluripotent or totipotent stem cell; it can be coaxed into making just about any cell in the body. (Embryonic stem cells fall into this category; you can use them to make any part of a full-blown human, given the right biochemical signals. This is why embryonic stem cells are of such great interest to medical researchers.)
Once you get to an adult human, you don't (as far as we know) have any of these pluripotent stem cells left. Instead, we have partially-differentiated and fully-differentiated populations of multipotent and even unipotent stem cells: stem cells that can make just a few types - or even just one type - of daughter cells. In the bone marrow, for instance, we have (multipotent) hematopoietic stem cells: stem cells which can only make blood and blood-forming cells. In the skin, we have stem cells that can only make more skin and skin-forming cells.
In the case of Governor Perry, adipose (fatty) tissue was extracted, and adipose stem cells were isolated and reinjected. Presumably, they shouldn't be capable of making anything but soft tissue. (That said, I suppose there is the possibility of partial de-differentiation of the stem cells so that they can produce a larger range of cell types; the technique he used is poorly characterized and not supported by proper clinical trials.) In theory, the presence of adipose stem cells circulating in the blood could lead to the formation of lipomas--tumors made of fat cells experiencing uncontrolled division. In practice, I suspect that the injected stem cells will quickly recognize that they are out of their appropriate habitat and die off shortly after injection: a useless, politically-motivated therapeutic intervention that risks infection and wastes money.