I'm not suggesting that we eliminate cholesterol entirely. Obviously it's a necessary component of a great many things. What I am suggesting is that the circulating level of cholesterol needed to do those things is much lower than what most of us are walking around with. Take kids for example: most kids have LDLs in the 30s and they clearly do just fine. Lowering cholesterol lowers the risk of development of arterial disease. Period. Is high cholesterol the sole reason for heart disease, no. It is necessary but not sufficient. But it is an easily modifiable factor whereas inflammation is not in many cases.
Discussion
Where we differ is that I believe the evidence shows that high cholesterol *isn’t* necessary or sufficient because it is not causal. It is simply often present where there is CVD, but what’s missed (per the charts above) is that it is very often present *without* any risk of CVD. (And maybe Fibrinogen levels point to the real causal factor — we don’t know)
Read The Clot Thickens by Malcom Kendrick for an alternative view. I don’t believe anyone including Dr Kendrick has the answers, at least yet, but I do believe that we need to accept that we don’t know and humbly pursue the real causes further.
I would again suggest that autopsy results prove otherwise.
Ambulances being blamed for the accident that they attend to.
Consider that there may be other reasons. 
