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My proposed Instant Death rule is this:
Each time a model would suffer damage from an attack with a random Damage characteristic (e.g Damage D6), if that model has a Toughness characteristic half or less than the Strength characteristic of that attack, do not roll dice to randomly determine the Damage characteristic, instead that attack is considered to have the maximum possible Damage value (e.g a Damage value of D6 becomes Damage 6, Damage D3 becomes Damage 3, Damage D6+2 becomes Damage 8, etc.)

The idea behind the proposed rule.
D6 weapons are kinda a feel bad weapon each time you roll a 1 for Damage, and this would help avoid that against multi-wound medium infantry.

Concerns:
Maybe the maximum damage is too much? I considered making it a minimum 3 damage rather than max damage so characters aren't instantly vaporized and D3+3 and D6+2 and higher wouldn't benefit.

Any suggestion or comments? do you like my idea or does it sucks and I should feel bad?

Or you just make them less random. You can go the Dark Lance route and literally everyone but kids that like randumb would be fine.

D3+3 or D6+2 are certainly the way to go to improve all D6 based weapons.

Damage D6 and multiples would make sense in a world in which weapons' damage characteristics are 1, 2 and maybe 3. Then D6, even random, would still be pretty powerful and justified. But in the current state damage D6 doesn't make sense.

I'd entirely remove damage D3 instead, making it flat damage 2 or 3 depending on the weapon. Typically they're blast weapons so they could be flat 2 with +1damage if the target has 6+ (or 11+) models.

Or made d6 weapons 2d3. Same maximum value, higher floor, less variance, and still less powerful than d3+3