The story went a little differently. A little luck - and the Major won. Having kidnapped Integra Hellsing and Victoria Seras, he escaped from the destroyed London on the surviving airship. But everything is not as simple as it seems at first glance: it is not enough to win one battle to win the war.
Daphne screwed up big time when she sent her sweet little sister to another world. Who could have known she'd end up with Arthur Hellsing, of all people, and that he'd decide to adopt the girl.