For starters its great you have the Ohlins suspension with all the adjustment points. Sorting them out may sound a little confusing at first, it was for me, but eventually it comes around.
Basic suspension points on the Ohlins MTS:
Top fork adjusters are rebound and spring preload, bottom one is compression. In the back there are three outer adjustment points, helping you adjust the bike to the load. They are rebound damping, compression damping and then the isolated knob that sticks out of the frame slightly is the spring preload. Then there is the SAG adjustment (leaving this out for now but very doable with help).
Like you and many others I found the suspension settings on my Multi were not dialed to my weight and riding style when I bought it used. Actually they still aren't until I can get the bike to someone like Dave Moss or Phil Douglas. So I set about learning about suspension lingo then actually learned how to do some basic adjusting. I had the luxury of going on a long overnighter ride and we made multiple break and photo stops. This was a perfect opportunity to fine tune the bike because the roads provided the conditions to test my settings. I adjusted at small increments, one click two clicks max. I found the sweet spot in time, but I still like dabbling with it. Again, I'll get it fine tuned through a suspension guru, but for now its greatly improved.
Here are some links that will help you:
http://wolfcentral.net/multistrada/suspension.htm
http://www.amazon.com/Sportbike-Suspension-Tuning-Andrew-Trevitt/dp/1893618455
http://www.sportrider.com/suspension_settings/146_suggested_suspension_settings/index.html
Just my opinion, but your symptoms point to a common issue and you can improve it by messing with the top 3mm allen preload adjustment. Coordinate that adjustment with the lower 3mm allen compression adjustment. The owner's manual has a few errors in it and can cause confusion.
I started with factory settings on both front and rear outer adjustments and went from there. Since you weigh more than the factory profile rider, I would assume you will need to adjust fork rebound, going clockwise a click or two between road tests. During my long ride I also made fewer adjustments to the lower fork compression, it was a ratio in favor of rebound adjustment. I also adjusted the rear knob spring preload while on the fly and I think you should as well because of your weight. Factory setting for this adjuster (its actually adjusts the outer spring of the shock absorber) is full low or full counterclockwise. I would turn the knob clockwise to stiffen it up since it is commonly adjusted to accomodate the extra weight when riding two up.
Hope this helps