Well, it’s going to be a long time till we get to that stage!
But yes, when we do, that would be ideal. I think we eventually want to get to a stage where a computer just ‘knows’ who we are, without us making any conscious effort — just like a human friend or security-guard. (And computers will have better memory, too).
Of course, there is a dark side to that stage. If a computer can recognise us well enough to authenticate us, they’ll be able to recognise us for other purposes as well. Other people will be able to follow us through computers, and, well, there goes all our privacy.
I guess it all depends on what you’re trying to protect, and what level of security you want. And for those who want a sophisticated protection system, a multi-combination setup like the one you describe would be the way to go.