Just try the asm.js subset and see how it performs for you, I remember that even without the special asm.js support in browsers Emscripten output performance was surprisingly good
In fact, I think it was only firefox that made a special JIT route. Chrome moved optimizations into the regular JIT.
It will still work. asm.js is just regular JavaScript code, after all. It just won't parse/run as fast as custom pipeline for asm.js. My guess is that you will not notice much difference unless you have a really huge application.