Well, the two don’t really fit perfectly like split peas, but there are strong parallels. The most prominent is that the Leviathan is an entity that holds supreme power over the state (both by secular and religious power, as represented by the sword and the staff, respectively), and is constituted by multitudes of faceless, unknowable men, who, in turn, are constituted by the majority of the population. This could be likened to Dick Roman and his plans, where he takes control of the human population of the United States.
The Leviathan by Hobbes is chosen willfully by the people, as they put their trust, and therefore, authorize, him to govern. The people will agree, in a way, to give up their right for the Leviathan to act for them. This is exactly how Dick Roman rose to power, and the public loved his charismatic demeanor.
As I see it, because the Leviathan by Hobbes is a representative of the majority (think an absolute monarchy), it goes against the theme of Free Will of the show, and the minority is forced into agreeing with the Leviathan. Now in political sense, this only means numbers—the majority is at least half of the population plus one, and the rest is called the minority. However, one could also interpret the minority as the weaker or marginalized portion of the state (which is often true). Remember how Dick plans to make the humans ‘dumb and indifferent’ with their corn syrup? So not only did the people allow it to happen, they also glorified Dick’s rise (fundamental to choosing or giving power to the sovereign), they also do not have much say in the political arena once the sovereign is in place, because they have agreed to him. And the corn syrup cements that hierarchy. That is exactly how the humanity (the minority), will be forced to agree with the Leviathan—a representative of the majority (or the powerful class, which are the leviathan species).
There is also a superficial connection with the Leviathan being made up of faceless entities, while the leviathans only have a mouth for its face.
Interestingly enough, Hobbes also wrote about religion and supernatural topics in the Leviathan. Hobbes wrote that if anybody is to profess that God has spoken to him, then it would bring chaos, as the divine law would override the civil law. To make sure that chaos is not brought, Hobbes thought that every scripture should be verifiable—or religion will go astray.Hobbes had eventually come into the conclusion that there is no ultimate test other than the civil power, which is represented by the Leviathan, who ultimately decides what priests preach to the flock.
Remember how Dick, the head leviathan, manipulated Kevin Tran, a prophet, into interpreting the Word of God for him? Dick will obviously use the Word to his advantage, and thus follows Hobbes’s representation of the Bible and newly discovered scriptures be under the jurisdiction of the sovereign.
Hobbes also wrote of the ‘Kingdom of Darkness’, where he wrote that demons are nothing more than figment of imaginations and cause the darkness plaguing society. He wanted to eliminate these so that civil order is achieved. Dick Roman hated demons, and mentioned that if he was not busy, he would have wiped demons off the earth. It later changed, but he still wanted Crowley and his demons out of the US and in Canada instead.