I have a 2007 Mini Cooper S with Coil Overs, upgraded sway bar and rebuilt engine, clutch and just about everything else that has come up. When I take off in "NON" sport mode I get a slight shudder at first. Sport mode on no shudder. Ive just inspected the entire suspension in the front and the only thing I can say is my swing arm bushings are original. They don't seem to be wacked. But asking around. This looks like a drop the exhaust and subframe job so I want to be sure before I dive in.

 

"Swing arm bushings"? If you're referring to the lower engine mount, it's one of the easiest mods to install. Maybe a floor jack under the pan to support the engine while you change it, but no exhaust or sub frame to mess with. If you're referring to the wheel mounted steering bushings, these too are changeable without exhaust or subframe interference. If it's the front sway bar bushings in question, I can't help --- never messed with it. Have you checked NewTIS.info for their procedure?