Can we stop with this nonsense about static sites not needing https? It's not just there to protect secrecy. Integrity is vital with how many parties are happy to inject content into any unencrypted https connection these days. Browsers should be able to know that they're receiving the same bytes the server is sending.
That would be great for a lot of reasons, but it's not a satisfying answer here.
For one, it'd only help web traffic that was entirely within the US, and only traversed networks within the scope of the FCC's enforcement operations. Do you really trust that coffee shop wifi? I don't, and I don't think it'd ever be big enough for the FCC to care.
Second, such an FCC could always revert back to current behavior. It's not any more reliable to depend on politics to fix a technical problem than it is to depend on technology to fix a political problem.