don't confuse this short term trend of bitcoin for the long term of what is happening. right NOW we are in a stable phase but this is not going to last. the over all trend of bitcoin is a rather speedy rise upwards. what you see here is the short term fluctuations. we have had the high volatility, the bubble and the panic sell and now we have the stability and accumulation.
as for the title question, yes bitcoin will become a lot more stable some day in the future. but we are so far away from that day because there is still a lot of rise remaining. and a lot of way to go before bitcoin is matured.