I wouldn't really say they see women as 2nd class citizens. It's more that men and women have a different role. The woman would be the traditional motherly figure, the man would be the one who works hard, earns the money etc.
It's kind of wrong to say they look at women as 2nd class citizens, you can find lots of examples in reggae music that give thanks to women. eg "thank you mamma" by sizzla, now I don't really know if sizzla is an orthodox rasta like you're talking about. I know he's a bobo which is the strictest of all the religions, but I think recently his views have been changing, that's pretty obvious when you listen to his recent music