Here's a suggestion.
Right off Alpine Rd, there's the Ladera Shopping Center. It has a Mike's Cafe, Amigo Grill (Mexican breakfast) and a nice little coffee shop with pastries, bagels, etc.
At that time of the morning, there should be a ton of open parking and right up front with safety margins like planter boxes.
Edit: Mike's Cafe menu:
http://www.mikescafes.com/menus/PVBrunch.pdf Opens at 8:00 AM.