If Bitcoin becoming a mainstream payment system in the future there will be no banks controlling our money ,and the ideal of faster more cheap international payment will be more interesting . imagine sending money to someone with out any fees ,well it will mainly reduce the government control over citizen ,but first bitcoin most become known to the world .so what are your taught on this topic
Normal banking system can never be totally eliminated, i don't think so and i don't expect to happen anytime. Their is some comfortability with the normal fiat system of banking that helps in our everyday life that Bitcoin can not replace at this moment maybe still not in the nearest future.
Bitcoin usage will increase, more people will take Bitcoin as a legal goods and service option for payment but it won't take the bigger population totally for it's use, even those who make use of Bitcoin will certainly make use of fiat banks for simpler transactions.