I'm not Fizzatron, but as an AX newb that almost exclusively uses Human AX weapons, Basilisks are still killable for me.
Krait MkII - 2 Large Gimballed AXMCs, 1 Large Fixed AX Missile Rack, 2 Medium Fixed AX Missile Rack
Before unlocking Guardian modules, I used this
Human AX Krait MK II to kill Scouts, Cyclops and the occasional Basilisk (not easy) in Starport / Outpost / Planetary AX CZs.
It takes 5-6 volleys in quick succession from the AX Missiles to exert the hearts, but the AXMCs chew through them just the same as a Cyclops heart. Moving fast/cold enough to avoid the cannon fire is more important than in a Cyclops fight, which any decently tanked ship can just ignore.(Though I still try to avoid as much fire as possible, my minigame is seeing how many Interceptors I can solo without landing to repair/rearm, my record is 3 and a half Cyclops')
Yes. I try to keep as cool as possible with the Heatsinks (and Beam), while Cold Orbiting, to avoid the canon.
I had good results with the Krait after I changed the AX Missiles to Mod Shards or Mod PCs, since I could disengage (531m/s) at will and repair without being caught, but, my
AX Challenger (490m/s) was better for Planetary AX CZs due to its better maneuverability, stronger lateral thrusters and higher armour.
I have not seen a Medusa at a planetary port AXCZ, but I have tried to fight one using that build at an Outpost AXCZ.
I have seen them and fought them at both of those types of AX CZs, but they are rare. It did not go well when in solo with the Human AX build. In a wing, however, Medusas are feasible with Human AX builds, as long as the other wingmen use Guardian weapons to make most of the job...
I was unable to exert it, though I may have been panicking too much from the Swarm to land enough consecutive Missile hits.
The Swarm really complicates things because, if one installs a Flak Launcher to deal with the Thargons, it sacrifices firepower to exert and destroy the Medusa's hearts. And with the lower firepower that Human AX weapons have, it makes it impossible for to me to deal with it.
Doesn't really bother me, as I consider Medusas and Hydras Wing-Bosses, that should not be Solo-able by ANYONE less than the most Ace Pilots, challenging themselves to a "Dark Souls Hard Mode" style fight.
I happen to agree.
It should have never been made possible for randos through the Weapon Stabilizers and Salvation weapons
Medusas and Hydras are not really taken solo by "randos", even when using gib boats. They are still very hard and you have to go through every heart and shield.
and I see the Glaive as the way to rectify that. The only problem is it seems to also block those "Ace Pilots" from being able to hunt those bosses Solo due to it's RNG appearances.
A good point you mention here. I find that the current implementation of Glaives is a lazy solution and a crude tool to deal with any excess Guardian Weapons firepower.
And if FDev was so concerned about that, why did they release the Weapons Stabilizers in the first place? Just limit Human AX to 6 and keep Guardian at 4. No complications necessary...
In relation to this thread, that Krait build above mows Glaives down like they're scouts, can perform light Titan operations(swap out EXS and SFN), can easily kill multiple Cyclops' in a row, and with minor difficulty, kill a Basilisk. I don't fly it that much anymore because it feels overpowered, and have switched to Meme-Mambas and small ships, like a 630m/s Viper III. Still have yet to die or High Wake from a Glaive.
I had a scare with my Challenger build above (my first Glaive contact), where I had to High Wake.
I am currently using this
Glaive Hunter AX Krait to
hunt 
the Glaive Hunter class ships. They are a good source for Caustic Shards, that I need to unblock the Caustic Sink Launcher.
EDIT: Typos...