Have a web design and research team conduct user testing and usability research.
There are various techniques that can be used in presenting information. The organization is best determined via asking the users. Usability researchers and designers in web design firms would be your best bet to conduct an overhaul. Essential tasks would be to develop personas for the common users, conduct card sorting with users, and iterate the design. A website is a never complete project always beta. Continuous user testing and design tweaks help to make it more usable for more audiences. I suggest hire a design team that are experts in usability research and design to create the new fcc.gov.