Being a big picture person isn't the opposite of paying attention to detail. No one as an excuse for not paying attention to detail. It's no joke, the saying that the devil is in the detail. The entire law industry is built on exploiting people who don't pay attention to detail. No company wants an employee who keeps making embarrassing mistakes. And no company can be successfully run by a man who has no eyes for detail. So if you have trouble with details don't ever make the mistake of thinking that makes you a big picture person.
It's what you do with the details that separate a detail oriented person from a big picture person. A detail oriented person obssesses with the detail and won't stop turning it around while a big picture person see the detail as part of a jigsaw puzzle. He understands the detail and move on to other pieces, trying to put together the puzzle. It's a higher level of interacting with data/detail. And that's why I believe everyone should be a big picture person.