I'm a woman and I would not have a problem dating a bisexual man. Actually, some of the most attractive men I have met are bisexual. Whether I would settle down with someone like that is another question. I have several friends who you can say are bisexual and even though they love women (one of them was even engaged at one stage), they tend to prefer men. And if they did become monogamous for a while, it was in a male-male relationship. But they're just my experiences.
Has anyone seen
Three of Hearts? It's a doco about a family of two men and a woman, living quite happily as one family. This topic made me think of it.