Well, I was sexually harrassed, NOT abused, jsut harrassed, and as such I have a fair few alters with various attitudes towards the subject. Example, I don't care for it much, but others are extremely powerful sexually, and some do things I couldn't bring myself to, and some are asexual.
For one, she can only enjoy sexual activity when she's not the one in control, I think this is because she wouldn't be able to handle it if she was the one making the situation happen, actively doing such things.
I like to imagine we're all nice people, and god I know I'd never be disloyal or do horrible, slutty things, but there is one who always ends up f*cking things up for us, sexually active and so on.
So I reckon that alters can be sexually-active or addicted to sex no matter what form of abuse they've been under.
I'm not quite sure where to draw the line between abuse and harassment, ah I dunno, but I hope you figure out things with your husband soon!