@Dash - Well, GoA is RP friendly but is not particularly hardcore, although we do have RP events and spontaneous RP does erupt in our gchat all the time.
But, if you really are looking for RP first and foremost, with PvP as a main secondary focus, might I recommend you take a look at:
Guardians of the Light
Knights of Dusk
Order of the Dragon
*edit edit* And how can I forget Keepers of Stromgarde!! (Apparently KoS has transferred off. Never mind)
But, The Everywhen is a newer guild that has EXACTLY what you're looking for Dash! Oh wait... ;-)
And...I've heard a relatively new guild called Lions of Lordaeron has EXACTLY what you're looking for! ;-)
GoA does ALL the things...PvE, RP, PvP, but we don't have a specific focus on any one.
It's worth pointing out that, as the unofficial leader of one of the groups of refugees (specifically, the ones from Cenarion Circle), we've come for both RP (primarily) and PVP (secondary)... and we'd love it if the two had something to do with each other. ;)