I'm with Jay - You have a coach to be coached. If you want to coach yourself, coach yourself. If you don't trust your coach enough to follow his programming, you need to find a new coach. Otherwise, do what he says. You can of course bring your ideas to him, but give him the chance to explain why he's doing what he's doing before you decide it's not working for you.
Understand that it's not SS vs. Oly lifting. Oly training is by no stretch of the imagination devoid of strength work - it should contain plenty (and your description shows that your current program has enough). All SS will do is get your low-bar BS, press and DL up, and while it's generally successful, there's no guarantee. You'd still have to come back and work on making that new strength apply to the lifts - and don't fool youself - it's not that straightforward of an application.
SS is primarily for people with little or no strength work background and no idea of what they want to do with their newfound strength - if you know you want to apply strength to O-lifting, train as an O-lifter.