But the doctor needed their help, unlike religious figures generally do. To move away from real world religions, if a town in a D&D world prays to Obad-Hai, god of nature, for rain, it's not a question of can the Obad-Hai make it rain, but will he. However, in the case of the finale, it was the people of the world throwing their support to and helping the one person with the best chance of beating the threat to begin with. Without the people of the world, the Doctor wouldn't have been able to win, the Master had already beaten him. Mankind is both the doctor's and it's own savior in this case.