Noah's escape was more of a trick than a voyage - he didn't have any planned destination, and was using the boat more as a lifejacket than as a means of transportation. Once the waters subsided, everyone could just act normal and go back to their homes (or, holes, nests, lairs, burrows, sewers and hosts, as the case may be).
But Noah's Ark was not a memory, it was a dream; it is not the past, but the future. Noah's Ark is a suggestion for those facing calamity - set sail. The imperial expansion of Europeans (facilitated by the sailing ship) was a Noah's Ark; an escape from rapidly overfilling homelands.
Yet Noah's Ark is not just a ship, it is a metaphor for escape, and can be applied to any migration facilitated by technology - such as the use of a car to move to another city or state. It might yet apply to humanity, and spacecraft, and other planets.
Noah's Ark seems naive - life just doesn't work that way. Who's feeding these animals, and with what, and for how long? Who's collecting them - including viruses, bacteria, and the Loch Ness Monster? How to choose between two beings of the same species? Who's choosing, and on what grounds.. and who's paying??!!!
The logistics are simply impossible - it was never meant to be taken literally. The underlying principle is the substance of the tale - if you're out of options, set sail, and bring everything that's important.
Since this was written..