Like with any medication statins come with SEs. If you experience any adverse symptoms then of course stopping intake is advisable.
However, the claims made in the above article are rather spurious and not backed up by sound scientific evidence. In contrast, there is ample data from several thousands of patients suggesting that statins reduce cardiovascular events. For now, the latter clearly outweighs the former.
With regards to cholesterol, yes of course we need it. But what we do have is better in the HDL rather than the LDL variety. Moreover, there is evidence that the beneficial effects of statins are mediated not only by the lowering of cholesterol but also through other so-called pleiotropic effects on the blood vessels.
I would strongly suggest that you continue taking your medication if you are on statins unless you experience SEs, in which case get in touch with your GP. There are alternative medications if you can't tolerate them.
(COI: medically qualified...)