No. We won't. It's a constitutional impossibility for the American government to 'fall' outside of a revolution. The only thing that will happen is that two years from now there will be elections but not for president. I consider the fact that the government can't fall to be a bug in the US political system but it's not even the biggest one.

For all the reverence the 'founding fathers' get they could have done a much better job setting things up. America got rid of royalty, then brought it back in by electing them, and not in a ceremonial function either. It's a huge problem (that, and the 'two party system').

Technically the two party system could change but things are set up in such a way that no third party will ever gather enough votes even if you were to say pit two un-electables against each other.