The most salient underlying conflict in the making of a democratic constitution in South Africa was between the white minority and the black majority. This conflict was deeply rooted in the history of apartheid, a system of racial segregation and discrimination that was enforced by the South African government from 1948 to 1994.

1. Apartheid and Racial Segregation:
Under apartheid, the white minority had significant political power and control over resources, while the black majority was systematically oppressed and denied basic rights and freedoms. This created a deep divide between the two racial groups and led to widespread racial tensions and conflict.

2. Struggle for Equality and Democracy:
The black majority, led by organizations such as the African National Congress (ANC), fought against apartheid and campaigned for equal rights and democracy. This struggle for equality and democracy was a central theme in the negotiations for a democratic constitution.

3. Negotiations and Compromises:
In the early 1990s, negotiations between the apartheid government and the ANC began, with the aim of transitioning South Africa to a democratic and non-racial society. These negotiations were complex and involved significant compromises from both sides. The white minority was concerned about the protection of their rights and interests, while the black majority sought to address the historical injustices of apartheid.

4. Representation and Power Sharing:
One of the key challenges in the constitution-making process was ensuring representation and power sharing between the different racial groups. The negotiations resulted in the establishment of a transitional government of national unity, which included representatives from various political parties. This allowed for the inclusion of the white minority in the decision-making process and helped to address their concerns.

5. Protection of Minority Rights:
Another important aspect of the constitution-making process was the protection of minority rights. The negotiations led to the inclusion of a Bill of Rights in the final constitution, which protected the rights of all individuals, regardless of race or ethnicity. This helped to address the concerns of not only the white minority but also other minority groups, such as the colored minority.

Overall, the conflict between the white minority and the black majority was the most salient underlying conflict in the making of a democratic constitution in South Africa. The negotiations and compromises that took place during this process helped to bridge the racial divide and establish a framework for a more inclusive and democratic society.