Well, in the original game, the guy just holstered the weapon, opened the door, and then he put on the weapon back. Then you ended up going unarmed inside the city just because it was annoying. Since we don't have that in this game, it is already different from the original one. I guess kicking doors is not a viable option, because it uses the "Use" animation, so unless you can use a stimpack with your feet or kick a buffout into your mouth, it would be ridiculous. Anyway, I guess you could hold a big gun with one hand for just a second.
Sadly, the only experience I had with this specific animations was a failure. Don't know what, but I did something wrong and it didn't work when I tested...not that I cared much anyway. I could try again sometime.