Do You Need Military ID If Disneyland Tickets Were Purchase From The Base?

I think the best idea would be to ask the base.

No you don't need an ID because you can buy them as gifts. I use this method every time I go. My dad retired military so whenever we go anywhere we have him buy us tickets. This is for any normal hoppers that you get.
You do need a military person if they are using the special free ticket for military promotion with two day hopper for five guest for $90 ea.