Mostly dead, unfortunately. There's the occasional isolated minmatar RPer, and private minmatar RP going on, but as a community there isn't one. Some ostensibly minmatar RP corps still exist, but one of them is almost entirely OOC these days, and the other, if it's even still active, is very isolated.
Though, the lack of RP corps is a pretty common issue these days. The majority of RPers tend to fall in OOC corps and engage in RP as secondary to their main interests. This limits the ability for any individual IC community (like factional communities) to really grow and flourish.