I don't think this is the perfect idea for the future of Batman on film, but I don't think it's a bad idea...
Take Batman: The Animated Series (1992) for example...
When that show premiered, it had its own original style on Batman. Sure, it wasn't realistic like Nolan's (the first episode, "On Leather Wings", featured Man-Bat), but it definitely had it's own take/interpretation.
The Batman from BTAS did not seem like the kind of Batman we'd find in Justice League. He seemed removed from Superman, Wonder Woman, etc. I remember BTAS, like Nolan's Batman, seemed to exist in a world without other superheroes.
But what happened...
Justice League and Justice League Unlimited happened and it featured the same incarnation of Batman in it.
So my point is this isn't the first time an interpretation of Batman that seemed unfit for other superheroes is getting tossed into the Justice League mix.
Nolan's Batman = BTAS in its debut/prime.
I DEFINITELY would not want to see Batman start all over again on film. Hell no! I don't want them to do to Batman what they are doing to Spiderman (rebooting Spiderman... ??? ugh! I have barely any interest in this new Andrew Garfield Spiderman... we have to sit through the origin story again???? ugh!)
So a not-so-bad idea is to just continue Batman by throwing him into a JL movie and re-introducing him through that new media.