"we made it" is used when you want to say that you created something or arrived somewhere. "we did it" is used when you want to say that you completed an action.

made it - succeeded in doing something did it - completed the action.

It's a very slight difference. "Did it" is backward-looking. It emphasizes completing an action in the past. "Made it" emphasizes reaching a goal, often a difficult goal. "Made it" is used less often and often carries a feeling of enthusiasm or triumph. Some examples of use: "I ran a half-marathon and I made it to the finish line." "I made it through college." "I got my license!" "Congratulations, daughter, you made it!" "Did it" emphases completing an action. You would use it more often. By using the right tone of voice, it can be used in the same way as "made it." "I got my license!" "Congratulations, daughter, you did it!" It can also be used as a simple, unemotional statement of fact. "Did you gas the car?" "Yes, I did it yesterday." One can imagine the dialogue in the musical comedy, "My Fair Lady," going like this: "Eliza, the poor girl you trained, made it through the party successfully! Because she spoke cultured English, everyone thought she was a lady! You won the bet! You did it!" "Made it" can sometimes can refer to literal survival. In the 1980s a U.S. arms official named T. K. Jones shocked people. He said "If there are enough shovels to go around, everybody's going to make it." That is, as long as people could dig simple shelters in their back yards, they could survive a nuclear attack.

The main difference is the verb that is used in each one. "Do" and "make" Although they are pretty simillar, DO is more used when we talk about performing an activity, while MAKE is usually related to create things from zero