I honestly dont think it has anything to do with your drivers.
You will be booting into the intel by default … and thats built into the kernel.
What exactly made them say that? What kind of experts are these people?
In any case your question
How can i install my two vga drivers in laptop?
Is answered
But your real issue is:
Maybe its an issue with your BIOS? Maybe you need to clean out the machine?
Maybe you want to tweak power parameters or TLP.
What makes you think the ‘drivers’ are the reason for the fan?