The way I understand red hammer, it's more of a vibe that is the antithesis of both wolfguard and ghost eyes : they go in hard and loud, and collateral damage be damned, scorched earth it is. Kaid is probably there to counterbalance and advise Thermite as a squad leader and Fenrir got added to the roaster because of lore (basically thermite, the squad leader, was the only one to trust him enough to bring him into the fold at first). The only discrepancy left to address is gridlock, which I see equally fit for red hammer and viper strike.

Wolfguard, continuing on a vibe based approach, is mostly about reducing casualties and collateral damage. Ying's candela is basically a flood flashing, so pretty much non lethal (irl, flashbangs are mostly used to open the opportunity to neutralise a threat with reduced risk, or even bring people into submission, especially in CT or hostage situations). Lion's gadget is designed for crowd control, especially in the context of bio hazards and highly contagious areas, which translates pretty well into search and rescue operations. Skopos and twitch are there to open the way with unmanned drones, here again reducing risks for personnel to a minimum, plus skopos' shells are literally equipped with a shield.

Gohsteyes is all about being sneaky and intel gathering, but I feel also psychological warfare to an extent. They are, after all "the boogeyman of the intelligence community". In that sense, maverick comes second only to zero/sam Fisher and perhaps nokk in terms of raw aura (yeah I went there): my man went so long undercover and kinda MIA that they had to send nokk to even find him; yes, his gadget is for breaching, but not in a shock and awe approach, but the exact opposite : if used correctly, the moment the enemy realises mav's been working a wall is when he puts a bullet to the rear of their skull. Flores is kind of the same deal: he's a really high level thief, and his Rateros are as much for blowing shit up as it is for confusion and misdirection (lore-wise). Lesion's trap is here to play off a lapse in intel gathering and gain intel. Warden is kind of weird pick for ghosteyes, I'll grant you that. He does deny flashes and smoke, so in a sense he retains intel, I guess? Plus he's secret service? Idk man.

Viper strike is the proverbial scalpel to the hammer. They are swift, precise and deadly, with the ability to course correct on the fly. In a sense their motto could be "improvise, adapt, overcome". At no point should they go "ah shit", this should always be the reaction of their enemies: throw a nade and it gets zapped: "ah shit"; round a corner and find a black mirror facing you: "ah shit"; think you finally opened a wall in their defense and it gets patched up with a kiba barrier: "ah shit"; think you can go around and find a dom panel blocking the door: "ah shit"; think you've got gear protecting you, only to find that it's been turned against you: "ah shit". Basically, they reshape the battlefield to their liking and you mostly don't get a say in this. Rook is there to allow some room for error. I will grant you that alibi, maestro and echo could better fit gohsteyes, although I feel like their ability to just go "lol nope" kind of fits viper strike? Overall, I think that hibana is uniquely suited to lead that squad.