I think it is a bit far to call it hate, and not to criticize your age, but you do not have a lot of access to the LGBT community at 16.
It is an interesting question coming from a 16 year old as you may be experiencing a far more polarized reaction. Anyone coming out at that age will be far more identified with their sexuality and I would surmise that they take great stock in the identity of being LGBT.
From a perspective of someone out for a longer period of time, dating a bi-sexual person would produce a whole list of new challenges that would need to be navigated. As a gay man it would be an extra burden on the relationship that would seemingly make it much more difficult to navigate successfully. It is not that it may not be worth that risk and extra effort, but it certainly becomes part of the thought process. I thought through what would go through my mind if I were to meet someone that I felt I might be interested in dating who revealed they were Bi-Sexual.
Those are just the quick things that came to mind in reading your question. I think what struck me the most about your question was:
It is good that you both recognize this aspect of yourself and are not willing to suppress it in order to get what you want. I think a lot of animosity that comes from the Gay and Lesbian communities towards Bisexuals comes after a breakup, particularly if that breakup is for someone of the opposite sex. It becomes easy for the hurt party to say, oh that person was not really Bisexual they were just confused, straight or gay depending on who was left for what sex. It is a particular part of the burden your sexuality comes with.
Good luck to you.