A disaster doesn't have to have a long duration to create dire needs in a family. There are those among us who can do without food for a day, but can't get along without medication on a regular schedule. In some cases, the consequences could be quite serious, as pharmacies can't open if there is no power.
Medicine should always be a part of a disaster supply kit. If it is critical enough, you may want to consider keeping a second stash of doses in your secondary kit, like in your car. But those pill bottles can be fairly bulky and you don't have unlimited space for storage in a kit…
So let's organize!
A simple pill sorter can work wonders cutting down on the storage space required. Either through color coding or labeling, you can keep the necessary medications for different members of the household kept apart. Or you can use color codes to help you remember which pills are the oldest and need to be cycled back out of your supply kit.
This is a good time to remember that not all medicines survive well in the same conditions. I would be wary of any medicines placed in the trunk of a car. You'd be better off wrapping them in a small insulated pouch or lunchkit, and kept inside the glove box or under the seat. (And if you park in the sun, you'd might as well forget that, too.)