Which uprising?
First of all this is the Eastern Province. Not Northern KSA. The Eastern Province of KSA is part of the ancient historical "Eastern Arabia" region home to some of the oldest civilizations and cities on the planet.
Al-Awamiyah is the most crime-ridden city in KSA and one of the most impoverished. In a country otherwise famous for its very low crime rates and wealth.
The few terrorists will be liquidated or captured and then later executed.
A funny/interesting thing is that most of those few policemen that they have killed were local Twelver Shia's.
Besides there are 3-4 million Shia's in KSA (Zaydis, Ismailis, Twelvers) and 99% of them are loyal citizens who contribute to the country just like any other religious, ethnic, regional etc. group.
Any attempt of terror in the holy land will be dealt with harshly.