I kept the periapsis at 200km, and performed four burns.
After the second burn, I got a 200x19,000km orbit :
After the third burn, I was on a 200x390,000km orbit, which demonstrated that the stack had enough Dv to reach the Moon :
I had 2k propellant left, so I performed a fourth and final retrograde burn to lower the orbit to 100x38,000km. The DM2 ran out of fuel, so it was time to say goodbye :
I had put three cosmonauts in the capsule using UMMUFA, so I couldn't resist to perform an EVA 38,000 kms away from Earth :
BO separation at 2500 kms of altitude :
Then I aimed for a 60km periapsis, jettisoned the SM and the crew started to sing chants to ask the Probe to help the heat shield ! At 130km of altitude, the autopilot took the hand. It probably detected that the trajectory was off-nominal and choosed the ballistic reentry option ! At 90km, the heat shield began to heat significantly :
At 75km, the situation was almost hopeless :
A few seconds after, a few hundred meters below 70km, what should happen happened :
Oh, shooting stars !! Obviously Thorton was right
Does that count as a new way to kill UmmUs ? 
To sum up, a circumlunar flight is possible using a joint ProtonM-DM2 / SoyuzTMA launch & rendez-vous in LEO. What we need is a better (and heavier) heat shield for the Soyuz
After the second burn, I got a 200x19,000km orbit :
After the third burn, I was on a 200x390,000km orbit, which demonstrated that the stack had enough Dv to reach the Moon :
I had 2k propellant left, so I performed a fourth and final retrograde burn to lower the orbit to 100x38,000km. The DM2 ran out of fuel, so it was time to say goodbye :
I had put three cosmonauts in the capsule using UMMUFA, so I couldn't resist to perform an EVA 38,000 kms away from Earth :
BO separation at 2500 kms of altitude :
Then I aimed for a 60km periapsis, jettisoned the SM and the crew started to sing chants to ask the Probe to help the heat shield ! At 130km of altitude, the autopilot took the hand. It probably detected that the trajectory was off-nominal and choosed the ballistic reentry option ! At 90km, the heat shield began to heat significantly :
At 75km, the situation was almost hopeless :
A few seconds after, a few hundred meters below 70km, what should happen happened :
Oh, shooting stars !! Obviously Thorton was right
To sum up, a circumlunar flight is possible using a joint ProtonM-DM2 / SoyuzTMA launch & rendez-vous in LEO. What we need is a better (and heavier) heat shield for the Soyuz