Opening the door like this in flight seems very unrealistic, for such a plane...
You are 100% right.
The C-135 was "based" on the Boeing 707... but it was not the 707. The USAF saw the potential of the commercial airframe for military use as a cargo and "etcetera", but the plain 707 was not military grade. Boeing redesigned the 707 into a different frame, using the original 707 concept, and called it the 717 (no, I am not wrong, keep reading). The 717 frame had the features desired by the military. Eventually the frame was adopted by the USAF and given the military designator of "C-135". "C" for cargo. The C-135 was the basis for the KC-135 tanker, and the electronic warfare and reconnaissance specialized versions. All versions of the EC-135 and RC-135 series were converted from KC-135s. The majority of C-135 frames today have been converted to the larger turbofan engines... which are better for performance/noise/environment/economy.
Now, the designator 717 was not used for anything else, and the military designator was the 135. Eventually Boeing used the 717 designator again for a smaller commercial jet, similar to the MD-80 series, and are used today for shorter flights. But many people erroneously (mostly media people who have never touched a plane in their lives) refer to the C-135 planes as military versions of the 707 not realizing that Boeing went back to the drawing boards to redesign the frame into something unique specifically for military use. So no, the C-135 is not a military version of the 707. It is a military version of the original 717, a designator that now is associated with a completely different airframe.
That is not to say that the 707 had no military application. Several countries used and use 707 military conversions... to include the USAF! The E-8C Joint Stars (JSTARS), unlike the 135 specialized variants, are 707 conversions from former commercial jetliners. Northrop Grumman took 707s and converted them to carry moving target indicator radars. If you look at pictures on the port side, you will notice that the JSTARS does not have the weather/cargo door, like C-135s.
So the C-135s have the weather door, and they are only opened on the ground, and they are rated for certain wind conditions. So no, you would never, never, never ever open it in flight. It would rip apart, causing damage to the airframe, likely catastrophic. There is a secondary door as well, but it is not meant to be opened in flight. The door is for loading and unloading using specialized loading trucks, or ladders for the crew.
The C-135s also had an escape door under the cockpit for parachuting the crew in emergencies.
There is a lot of good information in "BOEING - PLANEMAKER TO THE WORLD" by Robert Redding & Bill Yenne. Also... I am an aviation geek, and my father, amongst many other airframes, flew the 707... and I grew up flying with him on several planes and helicopters... I didn't have many friends, but hey! Who needs people when you have planes?!?!