So can Altcoin break all the relationship from bitcoin and run as a independent currency.
yes but only if they start becoming real independent
currency!
so far almost all the altcoins specially all the top coins are not a currency. they are all tools for speculation by traders and have no other use cases. this means only people who want bitcoin invest in altcoins and do it to profit on their bitcoins and when things are bad they dump altcoins because they were temporary means anyways.