The MM ESC should have no problem handling that setup.
Be SURE that you lift the red wire from the ESC to the Receiver. If you didn't, this is what's causing your problem. You can NOT have the ESC AND the BEC both trying to power the Receiver/Servo's.
IF you did lift the red ESC wire going to the Receiver, I would suspect there is something wrong with the motor.
Gearing? 4S is alot for the VXL Motor but you should be able to run it on 4S, as long as you keep temps in mind during long runs. Does it cog?
Have you updated the firmware in your ESC?
Your soldering job looks fine.
I'm using the MM/CC BEC in an E maxx setup. It performs GREAT. Power comes from 4S 5000mah 20C Lipos. I do have a Novak Cap added and a fan on the MM.
It will out accelerate AND outrun the T maxx on top end.
Can you post a picture of where your wires plug into the receiver?