-the homewold Clans abhor "Inner Sphere" taint but still want to conquer the IS ( Bastion doctrine)
It’s the _Aggressors_ who want to destroy Spheroid “taint” at its source by invading the Inner Sphere. The implication is that it would be a war of annihilation, with the Aggressors taking the gloves off — ortillery, possibly WMDs, and certainly no zellbriggen.
The _Bastions_ also consider Spheroid “taint” a paramount danger, but they want to seal the Homeworlds off from the Inner Sphere, not invade the Inner Sphere.
-the scientist cast was, by large, sent to push up daisies after they tried to rebel
Any scientist that even smelled like they had collaborated with the Society was put to death and no doubt that included some who were actually innocent. But the percentage of losses in the Scientist Caste differed from clan to clan based on the degree of infiltration by the Society. The Coyotes lost practically all their scientists, while other clans lost fewer or none.
-the mechs tied to the "tainted" clans have been largely ( totally?) scrapped ( I do have reservations about the Loki as well tbh)
The only two mechs that the surviving Homeworlders purposefully took out of production are the Cephalus and the Osteon, both Society designs. They kept the third Society omnimech, the Septicemia, in production. The destruction of the Wars of Reaving caused Homeworlds production of some Clan designs to inadvertently cease, while others were purposefully replaced (like Phantom for Fire Moth).
-now, and this is where I can't find anything, I remember a discussion about how one of the reason of the Reaving was the fact that resources in the Kerensky Cluster were dwindling and the At Home Clans needed more materials to survive.
That’s a background factor, not a cause. A power play by the Steel Viper Khan was the cause of the Wars of Reaving, specifically using Spheroid “taint” as an excuse to weaken opponents by reaving “tainted” blood heritages. The Society and Bandit Caste took advantage of the confusion to make their own bid for independence, which further added to the chaos. Clan raiding economics made things worse because many clans and enclaves relied too heavily on trials of possession rather than self-sufficiency, which meant they didn’t have the right supplies and logistics when the shooting really started. But that wasn’t a cause of the Wars of Reaving in the way that the Vipers and Society/Bandits were.
I would like someone more knowledgeable than me to confirm the last point since, if confirmed, it could mean a Mad Max scenario for the Homeworlds.
We don’t know what happened in the Homeworlds starting a short time after the Wars of Reaving ended. So you could certainly imagine a descent into a Mad Max society as the decades wear on. But when we last left them, the surviving three Homeworlds Clans were intact, had created a fourth clan, were working together at Grand Council meetings, were rebuilding, and were militarily active in the near Deep Periphery. There was no immediate descent into a post-apocalyptic society, just the opposite in the early years.
Hope this helps.