Entities mentioned:
- Smithsonian Institution: Professional pride, Duty, Wariness
- Donald Trump: Power, Self-preservation, Influence
- National Museum of American History: Duty, Professional pride, Obligation
- Bill Clinton: Legacy, Self-preservation
- Andrew Johnson: Legacy, Self-preservation
- Richard Nixon: Legacy, Self-preservation

Article Assessment:
Credibility Score: 75/100
Bias Rating: 45/100 (Center)
Sentiment Score: 45/100
Authoritarianism Risk: 30/100 (Generally Democratic)

Bias Analysis:
The article presents a balanced view of the situation, including both the initial removal and subsequent reinstallation of the exhibit. It quotes directly from the Smithsonian's statement, providing their perspective, while also detailing the changes made to the exhibit text.

Key metric: Public Trust in Institutions

As a social scientist, I analyze that this article highlights the delicate balance between historical accuracy, public perception, and political pressure in curating national exhibits. The Smithsonian's decision to reinstall and modify the Trump impeachment display reflects a struggle to maintain objectivity while navigating a politically charged atmosphere. The changes in language, such as adding 'alleged' and removing certain claims, suggest an attempt to present a more neutral stance. This incident underscores the challenges faced by public institutions in preserving historical record while remaining sensitive to current political climates. The public outcry and subsequent modifications demonstrate the high stakes involved in presenting recent, controversial history, and how it can impact public trust in cultural institutions.