You've got the wrong idea about me. I've been an LA Kings fan for many years -- in fact, I became their fan after the Isles traded Pálffy to the Kings. Along with Lubo and Stümpel, they made for a strong Slovak trio on the Kings. And yes, I endured as an LA Kings fan through all their years of sucking hard, even after all Slovak players left them, and I never dreamed Kings would one day be celebrating the Stanley Cup. (In fact, I'm still not sure right now if that magical play-off run actually happened, or if it was just mass hallucination!)

Looks like the Kings are back to sucking again this season, so their fans get that all-too-familiar feeling again.
As to Isles Nation, I have no idea what that is, but I suppose it must be something like LGK, the LA Kings fans' community:
http://letsgokings.com/forumdisplay.php?f=4
Yes,
Slovak is definitely the preferable term (preferred by Slovaks). From the point of view of English grammar, both
Slovak and
Slovakian is correct, but
Slovakian sounds irksome to Slovak ears --
that term is typically used by folks who know next to nothing about Slovakia.