YTA 150%. I agree it's kinda dumb but it's not your pig and not your farm. If she wants to name the baby Anakin Skywalker then that's her choice. It's better than some of the other baby names floating around like the girl with 1000 letters in her name or the one named the alphabet.
Also Anakin Skywalker brought balance to the entire galaxy and one of the greatest characters.so while Darth Vader is a villain Anakin is not.
Furthermore there will be some kids that will bully him but most won't and alot will think its cool. Take it from someone with an easy name to make fun of the kid will be alright.