You may want to refer to my posts in this thread where a user was inquiring about almost the exact same system, except they were inquiring about the i5-6500T which is a bit slower than the bog-standard i5-6500 non-T:
The tl;dr is that your PC is fine and even the integrated graphics should be fast enough for something like 2x internal resolution (960p), especially if you have two sticks of DDR4 RAM rather than one (worse still if it's DDR3), though you'd definitely not want to run exclusive ubershaders with the integrated graphics on the i5-6500 - hybrid ubershaders would be the maximum you could realistically get away with (and that may or may not require 1x internal resolution aka 480p - I am uncertain).
I also want to really emphesize that Intel + Vulkan + Linux really is the best way to maximize Intel's iGPU hardware (as a side benefit, getting the official 1st party GC USB adapter to work is much easier on Linux; I personally like Linux Mint as a "baby's first Linux" though Mac lovers would likely prefer ElementaryOS).
BTW, either of those Nvidia GPUs is honestly quite overkill for what you're trying to achieve - unless you're getting an absolutely amazing steal-of-a-deal, you could go with a waaaaaaaaay cheaper GPU and achieve the same result or straight up spend the same amount of money on a modern integrated graphics solution via the form of a newer CPU + motherboard, retain your existing RAM (assuming it's DDR4), and then you'd get better performance in both the CPU and GPU (heck, even the "just for diagnostics" 2 compute unit iGPU on the about-to-launch Ryzen 7000 will outperform your i5-6500, though Ryzen 7000 requires DDR5 due to being the AM5 platform - I'm just trying to put things into perspective rather than say "go buy Ryzen 7000 when in launches in 2 days").
Oh and psst, have you by chance heard of Prime Hack? It's particularly notable for mouse+keyboard control with the Trilogy versions of all 3 Metroid Prime games (though it also supports making them work with a traditional dual-analog control scheme rather than the GC's "tank controls" for lack of a better term). And protip - on Linux it's much easier to just install the Flatpak.
The tl;dr is that your PC is fine and even the integrated graphics should be fast enough for something like 2x internal resolution (960p), especially if you have two sticks of DDR4 RAM rather than one (worse still if it's DDR3), though you'd definitely not want to run exclusive ubershaders with the integrated graphics on the i5-6500 - hybrid ubershaders would be the maximum you could realistically get away with (and that may or may not require 1x internal resolution aka 480p - I am uncertain).
I also want to really emphesize that Intel + Vulkan + Linux really is the best way to maximize Intel's iGPU hardware (as a side benefit, getting the official 1st party GC USB adapter to work is much easier on Linux; I personally like Linux Mint as a "baby's first Linux" though Mac lovers would likely prefer ElementaryOS).
BTW, either of those Nvidia GPUs is honestly quite overkill for what you're trying to achieve - unless you're getting an absolutely amazing steal-of-a-deal, you could go with a waaaaaaaaay cheaper GPU and achieve the same result or straight up spend the same amount of money on a modern integrated graphics solution via the form of a newer CPU + motherboard, retain your existing RAM (assuming it's DDR4), and then you'd get better performance in both the CPU and GPU (heck, even the "just for diagnostics" 2 compute unit iGPU on the about-to-launch Ryzen 7000 will outperform your i5-6500, though Ryzen 7000 requires DDR5 due to being the AM5 platform - I'm just trying to put things into perspective rather than say "go buy Ryzen 7000 when in launches in 2 days").
Oh and psst, have you by chance heard of Prime Hack? It's particularly notable for mouse+keyboard control with the Trilogy versions of all 3 Metroid Prime games (though it also supports making them work with a traditional dual-analog control scheme rather than the GC's "tank controls" for lack of a better term). And protip - on Linux it's much easier to just install the Flatpak.
Dolphin 5.0 CPU benchmark
CPU: Pentium G3258 @ 4.5GHz 1.24v
GPU: Intel integrated
RAM: 4x4GB Corsair Vengence @ DDR3-1600
OS: Linux Mint of some variety + [VM] Win7 SP1 x64
CPU: Pentium G3258 @ 4.5GHz 1.24v
GPU: Intel integrated
RAM: 4x4GB Corsair Vengence @ DDR3-1600
OS: Linux Mint of some variety + [VM] Win7 SP1 x64