Even NAT in combination with RFC1918 doesn't give you security. The use of RFC1918 would certainly limit the set of people that could connect to your LAN machines, but it would be hard to call the result secure since anybody sharing your upstream L2 network, plus your ISP and anyone who can trick, force or coerce them into cooperating could still access your network.
And what does NAT add to the situation? Certainly not any security, since any connections that were possible before you added the NAT will still be possible afterwards too. In fact a lot more connections will become possible, so it seems like it reduces the security rather than improves it.
Ok, so the L2 thing isn't unheard of, but otherwise these are relatively unrealistic scenarios to be concerned about, don't you think?
Do you really want the security of your network to rely on your ISP always doing the right thing for you?
Unless of course you're talking about using NAT outside the context of the RFC1918/internet boundary, in which case you're absolutely right, but that wasn't what was being discussed.