Android makes it really easy to disable notifications from any app. Pull down the notifications list, long press, select "Turn off" (or "Settings" if you want more details).

It's also possible to make an Android device ask for every permission, including notifications, when a new app is installed. So it's also easy to deny most apps access to notifications, address book, camera, etc. I think it's the default on current Samsung phones, for instance.

Yes, and this is a headache for me.

What I want: In global settings, say "No notifications." Then I don't want to be prompted when I install an app.