Coincidence? I don't know. It appears that John Boehner picked the date, and I doubt that he would knowingly give Obama such a gift.
But, in any case, I think it's quite fitting.
Obama, like Lincoln, started his political career in Illinois. And for both of his presidential inaugurations, Obama used a bible that was once owned by President Lincoln.
However, will Obama's speech be Lincoln-worthy? That's something that each of us will have to decide for ourselves.