You MUST separate the whites from yolks, or the space-time continuum will rip open and aliens will declare war on our dimension. Or maybe you'll get lucky and only ruin the eggnog and have to start over.
You can use the egg shells to separate the yolk from the whites. I highly recommend separating the whites one at a time into a small bowl, and then
pouring the whites into a large bowl (that way if you screw up, it won't ruin your whole batch).
Keep the yolks in a separate bowl, you will need them later.