So they, and some Serbs, are keen to make the Dayton agreement work.
But privately, many Serbs - and even some of their leaders - accept that Serbs and Albanians will never reach agreement on Kosovo so the only solution is an imposed one.
Since 1999, two-thirds of Kosovo's Serbs - some 250, 000 people - have fled the area.
Some local Serbs who served in the security forces have doffed uniforms but kept weapons.
Clustered around the church in the town of Lipljan are some 800 Serbs, surrounded by 6, 500 Albanians.
Some 100, 000 Serbs remain following a post-war exodus of non-Albanians.
Holbrooke also said that he had "cleared up some confusion" over which weapons the Serbs have committed to move.
CNN: NATO extends deadline for Bosnian Serbs to move weapons
Some 200, 000-300, 000 Serbs used to live in Kosovo a decade ago.
For generations to come some will laud him as a saviour of the Serbs.
Serbian nationalists think Serbia ought to control Kosovo because Serbs fought a battle against the Ottoman Turks there some 600 years ago (the Turks won).
As well as coping with the Serbs, Kosovo's international protectors have picked up some worrying and contradictory signals from the province's Albanian politicians.
Breaking ranks with the Bosnian Serbs' wartime leader, Radovan Karadzic, she had offered some real co-operation with the peace plan drawn up three years ago this week in Dayton, Ohio.
However, some Russian army officers want to organize a volunteer force to defend the Serbs.
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