"Now I can completely fill my bin, but would that be too much ratio of that one material to break down?"
Definitely YES. You want a
roughly 60 / 40 greens/browns ratio, by volume (not rocket science, it can vary) IN LAYERS as tox said or all mixed together. But your greens and browns should be made up of different components. So greens are weeds, grass clippings, kitchen scraps, etc and browns are leaves, paper (tear up your junk mail), tough perennials you trim back, chipped up branches, etc.
In general we say no more than 10 % of the pile one ingredient, where fall leaves can be a bunch of ingredients but maple leaves or pine needles are one ingredient. (I learned that from toxcrusader!

) Like everything else in gardening, that's a guideline not a rule, but it is a useful guideline to keep in mind.
So as tox said, keep a separate pile and feed the browns in to the pile a bit at a time. That's what I do with my collected bags of fall leaves. Then every time I add greens to the pile (dump my bucket of kitchen scraps or throw in the weeds I pull), I cover them with the leaves.