I was put on statins in February with cholesterol at 6.1, Trigs 1.25, HDL 1.56, LDL 4. Exactly one month later they were 3.6, 1.15, 1.44 and 1.6, and my liver function test was normal. No side effects.
I am staying on them until my next blood test and will then hopefully stop.
The decision to take them or not is yours alone, but as long as you don't suffer any of the potential side effects and have a liver function test after the first month I personally would do as your GP recommends, at least until the levels come down, then have a review.