Final answer:
The term related to demagoguery is 'polarization,' which describes the division into extremes on issues, affecting government functionality and leading to increased partisanship and political gridlock.
Step-by-step explanation:
The term that describes the stasis issues that characterize demagoguery is related to the broader concept of polarization. Polarization occurs when people or groups divide between two extremes on an issue or position, leading to a situation where there is little to no common ground, and compromise becomes increasingly difficult. This issue is particularly relevant in discussions about political parties and the functioning of legislatures, where opposing preferences can lead to a stalemate.
The gerrymandering of legislative districts has contributed to this, as more homogenous districts can lead to politicians adopting more extreme positions to appeal to a narrower base of voters, exacerbating polarization. On the other hand, legislative deference is not considered a challenge in this context as it refers to a different issue altogether.
Polarization is having a negative impact on American politics, as it makes it harder for elected officials to achieve their policy goals. A polarized government is likely to experience tensions both between and within political parties, as opposed to the pursuit of common policy objectives.