Now that governments have a competitor in terms of currencies, do you think that they will make an effort to make the economic system more transparent or will they just try to ban everything?
No, it wont affect the amount of corruption. It can actually get worse if the corruptor uses coin whos its transaction is anonymous like Monero. Some countries even forbid the use of Bitcoin and other cryptocoins due to surveillance, they say cryptocoin has a gap to be use as a tool to commit crime.