The videos from Dr. Paul Mason on that channel about cholesterol will tell you everything you need to know about statins, LDL, atherosclerosis. The whole channel is a treasure trove of research and plenty of citations. It's just too new for your GP to be aware of it.

tl;dr: statins don't do much apart from reducing a single metric of an entire systemic disorder, and have terrible side effects, LDL is positively correlated with longevity in healthy subjects, high levels of blood sugar destroy a "marker" protein on LDL cells, they stop being recognised and reabsorbed by the liver but instead they go and accumulate under artery walls. Atherosclerosis is not caused by dietary fat, but high levels of dietary fat paired with high levels of blood sugar.

In general, high levels of sugar alone are worse by all metrics that high levels of dietary fat, and very recent research seems to suggest mitochondria work better burning fatty acids than glucose (to be clear, the chemical pathway is exactly the same, but fatty acids skip a couple steps and produce fewer free radicals)