Same initials???

Okay so I've been thinking a lot about a boy name because my fiancé just decided he wants to discontinue his family name. I like Aiden James, but for a girl we had decided on Amelia Jane. I didn't intentionally pick the names this way but if after this baby, we have a girl, would it be weird that their names are a lot alike? For Amelia I like Mia for short but her real name would still be Amelia. Does it sound weird to you guys??