Asimilarity between the leaders of state executive and legislative branches is that

they serve four year terms of office.
they are usually elected by popular vote.
they are responsible for making state laws.
they have budget-approval responsibilities.

The executive branch of the government has its main role to "execute" and "implement" the law. On the other hand, the primary function of the legislative branch is to make the laws. Therefore, the common difference in these both branches is that they are both involved in the presentation and approval of the national budget.

One key element is humour! the man probably represents a politician or worker!

That president would be none other than president warren g harding , return to say of life before wwi