The Malays in Borneo were The Laut ( The Islamic Dayak )

MELAYU  DI KALIMANTAN BARAT ADALAH DAYAK YANG BERAGAMA ISLAM

".....terutama dari berbagai komunitas suku seperti Batak, Dayak, Orang Asli dan Orang laut di- Islamisasi dan di- Melayukan...."

"......Islam telah dikenal oleh orang semenanjung pada abad ke X, namun mencapai puncaknya pada abat ke xiv dan xv ( Islamisasi dan melayunisasi )........" 

 Surau Dayak Islam-1929

( Bakumpai- Kalimantan Selatan ) 

 

The golden age of the Malay sultanates in the Malay Peninsula, Sumatra and Borneo saw many of their inhabitants, particularly from various tribal communities like the Batak, Dayak, Orang Asli and the Orang laut become subject to Islamisation and Malayisation.Today, some Malays have recent forbears from other parts of Maritime Southeast Asia, termed as anak dagang ("traders") and who predominantly consist of Javanese people, Bugis, Minangkabau people and Acehnese peoples, while some are also descended from more recent immigrants from other countries.

Although Muslims had passed through the Malay Peninsula as early as the 10th century, it was not until the 14th and 15th centuries that Islam first firmly established itself. The adoption of Islam by the 15th century saw the rise of a number of sultanates, the most prominent of which was the Malacca. Islam has had a profound influence on the Malay people, but has also been influenced by them. The Portuguese were the first European colonial powers to establish themselves on the Malay Peninsula and Southeast Asia, capturing Malacca in 1511, followed by the Dutch in 1641. However, it was the British who, after initially establishing bases at Jesselton, Kuching, Penang and Singapore, ultimately secured their hegemony across the territory that is now Malaysia. The Anglo-Dutch Treaty of 1824 defined the boundaries between British Malaya and the Netherlands East Indies (which became Indonesia). A fourth phase of foreign influence was immigration of Chinese and Indian workers to meet the needs of the colonial economy created by the British in the Malay Peninsula and Borneo.

( https://en.wikipedia.org/wiki/History_of_Malaysia )

(https://en.wikipedia.org/wiki/Ethnic_Malays)