What Anthony said. The picture book market these days is focused on the younger/shorter books. Under 500 words is the norm, and many books are much shorter than that. Look for books like yours, or the ones you mentioned, in the bookstore/library that have come out in the last 2 years, especially ones within the last 6-12 months. Picture books have a looooooooong lead time, so something coming out now may have been purchased 1-3 years ago (or more). The books you talked about are all fairly old, so it's harder to use them as examples, because it's not what publishers are currently buying. It doesn't mean you won't get a longer/older picture book published. It just might be an uphill climb.
Maybe you don't need to re-frame your mind to write this story. Maybe you need to think of it as a different type of book.
If you are writing for an older audience, have you considered writing your story as a chapter book? There are still illustrations, but unlike picture books, the art doesn't tell half (or more) of the story. It would give you more room for your story and target the same audience (chapter books are usually for 7-9 year-olds). Just a thought. If you have a chance to check out chapter books at the library/bookstore, focus on the recent ones, just like with picture books. The market has shifted a bit since the books you're using as examples. Maybe there are some books like the one you are writing in the chapter book section. Chapter books aren't an easy sell (neither are picture books), but if your story fits, it might be easier than trying to make it a picture book (hard to tell without reading it). If there's series possibilities, that's even better for chapter books.
That said, if you want to re-frame your mind to write a picture book, I'd suggest starting with these steps:
1. Read a ton of newly published picture books (pubbed in 2013/2014).
2. Think about whether the story you're telling fits within the age group, subject matter, and format of current picture books.
3. When you go back to your story, remember that the art will tell half (or more) of the story.
4. Don't forget that picture book text describes the action and emotion of the story, but not the visual details (leave those to the illustrator).
5. Try starting with a blank page after steps 1-4, and writing the book as an outline, or just the bones of your story.
6. Take each action in the outline and write that as a line in your book (don't add any more at this point).
7. Put it away for a day/week/however long you can handle it.
8. Read more current picture books, with special attention to how the words and pictures work together in the book. What words are left out to leave room for the art? What story does the art tell and how does it enhance or expand the story?
9. Pull your ms out and re-read, then revise while thinking about the text and how it will work with potential art.
10. Repeat steps 1-9 as needed.
11. When you are ready, think about getting a critique (critique exchange here on the board, a group you're already in, at a conference, etc.)
12. Revise and repeat as needed.
Good luck with your story!
Suddenly I feel like I should go blog about this ...