It would definitely be hard. I actually love JavaScript. But I could easily imagine someone who has something against Brendan Eich start their own browser without javascript. And I can imagine it becoming viral, too.
The JVM, the CLR, Flash, NaCL -- all of these already exist with browser implementations yet are having traction issues.
On top of that, it is unlikely Eich controls JS to the same level as FF, so it'd be a mostly pointless gesture. It'd be like finding out John McCarthy was a vile person, and abandoning all LISP-like languages.
I think it would be like finding out if the CEO of Microsoft didn't want blacks to be able to get married. Would you expect blacks to continue using Windows?
Imagine you were gay. Would you want to use Firefox and JavaScript? I'm a big fan of JS. I'm straight and it's somewhat distasteful to me now. If I were gay, I think that feeling would be very strong.