It's virtually impossible to create a bisexual identity for yourself. My best friend is a bisexual guy and although he'd privately identify as bi, he's happy enough with people calling him gay and wouldn't correct them if they did. He would probably be a 4 or 5 on the Kinsey scale though. 1's or 2's would probably not even bother coming out of the closet and would try to maintain a heterosexual identity
I consider myself around 3 on that scale, and I would nearly always correct people, unless I had a vested interest in not doing. I probably could
maintain a heterosexual identity, but I wouldn't feel right doing so.