I thought that the problem with this kind of LCC transatlantic dream is that the main thing keeping the existing carriers and their routes afloat is the high revenue business class passenger. Without these, the economy passengers are not enough profit to sustain such routes. And why would a business traveler (even a very cheap one) want to gamble with Ryanair or similar?
I might someday be tempted to try one of these carriers just out of curiosity, but only within Europe on something shorter than 2 hours. But never, on a transatlantic flight where you depend on the the crew to give you a level of service beyond just aiming to get the passengers off the plane and the next turnaround. Plus, although I'm sure their safety is up to a standard, I don't like the idea of the cheapest maintenance and crew (disgruntled from low pay) on such a long flight. Not that some legacy carriers aren't cutting back too, but with Ryanair, you just know how bad it's going to be.