Would she have a chance at the Conservative Party nomination, considering she's pro-choice and pro-gay rights?
No probably not, but she might nab the Independence Party nod.
I think the Conservative party might end up like the Liberal party really. They failed to prevent Mangano from wining the Nassau CE and a bunch of other moderate Republicans from winning in the NY Suburbs. What purpose do they serve. If all they can get is two Congressman who are Republicans first(King and Lee) and the State Island Burough President which is worthless. Eventually you would hope they would do us all a favor and self destruct.