That is a pretty neet chart! I suspect that the 'island of decay' is just a manifestation of some kind of resonance in the nucleus that favors decay. I'm not sure what the interaction is (I'm not a physicist) but it seems to me that there is a nuclear condition that particularly favors lower energy states--this is the origin of the 'instability.' Nucleonics in some ways mimics some of the complex interactions of electron shell orbitals in chemistry with odd little resonances playing a part in things like 'Hydrogen Bonding" which is a misnomer because it involves the electrons and it isn't a bond because the particular electron isn't acutally shared. But interactions of the electric fields allows the electron to settle in a different set of 'preferred' orbits which induces a slight charge polarization--which is the real mechanism behind 'hydrogen bonding' which is a critical concept to ordinary things like protein folding, DNA replication, boiling water, etc. The point is that some of these resonances are very subtle but the results can have huge implications.
Playing with it a bit more, I discovererd that you could switch the chart from "Half Life" to "Decay mode" The result is even more striking. (and curious)
I think that the colouring is somewhat deceptive -- as far as the "nuclear world" is concerned, anything with a half-life longer that about 0.001 second is essentially stable.
Just because those "longer" half-lives turn out to appear rather short in our "macro world," is likely more of a chance thing, than anything else....
In regards to the "islands of stability" that may or may not exist above Z=116, I think that the idea of reasonably stable 'super massive" isotopes is interesting in the aspect that they could end up being new nuclear fuels. It is conceivable that even more compact reactors, and/or fissile cores could result from isotopes in these regions. And who knows what kinds of interesting chemical properties they may have...?