King Abdullah was a key financial supporter of Sisi’s Egypt and an ally against Islamic extremism. Abdullah was also the first head of state to visit Cairo after Sisi’s election win last May. In August 2014 al-Sisi reciprocated with a trip to the Saudi Red Sea city of Jeddah for talks with Abdullah.

على صحة الملك، بمدينة الملك عبدالعزيز الطبية الأمير سلمان يستقبل الرئيس المصري عبدالفتاح السيسي خلال اطمئنانه

“On the king’s health, King Abdulaziz Medical City, Prince Salman Egyptian President Abdel Fattah al-Sisi receives through confidence in”.  Jan, 19th

Earlier this week the Egyptian President Abdel Fattah al-Sisi made a lightning stop in Riyadh (Monday night 1/19 pictured above) to visit the ailing Saudi King Abdullah, official media reported.
The relationship between al-Sisi and King Abdullah was instrumental in convincing the gulf Arab states to unite and pressure Qatar leveraging a change in political outcome away from extremism.
The royal court announced the passing of King Abdullah via state television, along with the announcement his brother, Salman bin Abdulaziz Al Saud, pictured above with al-Sisi on Monday, became king.
In turn, and to retain structural stability, King Salman has named his half-brother Muqrin as his crown prince and heir.
79-year-old Salman bin Abdulaziz Al Saud is said -by Western sources- to hold a more conservative view, and a general sense of sympathetic alignment with the Salafist sentiment within Sunni Islam.
However, those views might be provocatively overstated as Salman has also shown a favorable relationship with moderate Fattah al-Sisi more in alignment with King Abdullah.

[…]  King Salman has been part of the ruling clique of princes for decades and is thought likely to continue the main thrusts of Saudi strategic policy, including maintaining the alliance with the United States and working towards energy market stability.
During his five decades as Riyadh governor he was reputedly adept at managing the delicate balance of clerical, tribal and princely interests that determine Saudi policy, while maintaining good relations with the West. (link)

While the western media look on to see the future of Saudi Arabia, the regional geo-political interests are best served with a seamless transition.