Firstly, not gonna happen. It's not possible to erase corrupt motives or corrupt behaviour simply by getting rid of profit. No matter how economic decisions are made corrupt people will still exist and will be attracted to large and powerful institutions. The only question is how easy it is to replace them once they become infected. In general it's easier to get around corrupt organisations by replacement (markets) than reform (command).

Secondly, the decline of FSF and Mozilla have less to do with economics and more to do with the culture they're swimming in (a very jewish one). No matter what economic system is in place it will still reflect the values of the people running it. If they're evil people then it will be evil.