Whilst we need oil and gas our foreign policy isn't going to change much in respect of the gulf.
Whilst OPEC is still relatively a major world player, its influence is diminishing (reflected in their recent inability to control world oil prices). Saudi Arabia even more so as it now supplies only about 3-4% of the UK's crude oil requirements (Norway >40%). They hardly feature at all as a supplier of gas.
We are, regrettably, joined at the hip with them in our apparent dependency on their accumulated wealth vis-a-vis defence supply, civil engineering, science & technology etc.
As we have found out, their largesse comes at a considerable cost.