Hi Stunned Mike - I'd say do as much as is SAFE to do. How does one figure out how much is safe? I don't have a good answer for that.
I had bilateral mastectomy just over a week ago - no reconstruction. That means no muscle tissue was cut. That's a HUGE difference between my surgery and yours. Recovering from having abs cut just takes longer. With no muscles cut, I was walking on day 2.... Riding a bike on day 6... Washing dishes on day 2... laundry... And Sleeping a ton... and suffering the annoyed glances from my better half, who wanted me to rest more. But, I'm an antsy kind of a person - difficult to hold me still... I've always been like that.
Honeslty, no running and no lifting weights for your kind of surgery sounds reasonable to me. But, I'm no expert. Those muscles take time to heal up... Perhaps you can frame things from the perspective of what you CAN DO as opposed to what you cannot do? Ask if you can do specific activities..and see what your doc's response is. I bet your list is bigger than you realize - but perhaps it does not include running and lifting weights yet... Maybe elliptical machine? Walking... swimming... biking... etc... By the way, biking outside is awesome... and spring is coming!