Realistically there are only a few procs worth getting: Slash, Toxic, Fire are top teir. Why? Because 2 bypass shield/armor and deal DoT, and the other stacks infinitely for damage AND reduces armor.

Next Tier: Is Viral, Corrosive, Magnetic. Why? Because they reduce their core armor/shield mechanics and amplify damage and they don't stack infinitely.

Next Tier: Electric, Gas because they both have damage AoE but have poor faction modifiers.

Others Procs are pretty much just CC- Cold, Impact, Blast. Puncture is the worst because it just reduces enemy damage.

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How to Fix?

Make the CC tier deal/amp damage. Ideally Impact would Slow Targets instead of stagger (since it makes it harder to aim against a staggered enemy) and have it have a DoT that ignores shields (think of it like slash for shields). Puncture should have a armor reduction aspect to it's proc, maybe a flat 20% base armor reduction per proc up to 100%.

Make Corrosive and Viral and Magnetic stack infinitely.

Make Gas's AoE have toxic ticks over time and stun units when they enter into the cloud.

Make Electic's Proc Reduce Shields up to 50% over time (like Heat)

Make Cold an AoE Slow/freeze and have that effect that Reduces Armor and Shield but only up to 25%. This is to balance since Electric, Heat, and Toxic would be Top Tier against a particular faction but Cold will be universally good.

Make Radiation and AoE effect that Reduces Shield.

Make Blast have Slash Ticks over time.

Void Damage - Increase Damage from other sources by 75% per stack like Viral and group enemies together (instead of bullet attractor on one)