Earlier quoted context omitted.
There's an extremely simple method which is to onion multiple algorithms. If you want to add the promised security features of a new algorithm that hasn't been battle-tested it's well worth the effort.
I know next to nothing about this subject, but this suggestion sounds like the kinds of things that amateurs suggest but experts scoff at. So my question to any actual experts: is this legit? Note that breaking A+B is not necessarily as hard as breaking both A and B, but it certainly seems likely to be true most of the time.
Ignoring quantum computing, doubling up algorithms doesn't really protect you against unknown unknowns all that much as there is a good chance that a massive flaw in one of them could apply to the others (since they are all somewhat based on the same "problem").
When you start layering lattice based crypto with traditional crypto the payoff might change and make it more viable.