The entrenched power structure is always going to narrativize a genuine alternative to the Democratic party as harsh toned leftists destroying things to destroy things, so if you are afraid of that in your rhetoric (even if you end up supporting more reform like policies in the end) you are already making it incredibly easy to be walked all over by people that resist all change.
No, the strategy is to go for the throat of the DNC and happily back off when they realize you aren't messing around and give material concessions to the people they are supposed to represent. This is why the tea party was unfortunately successful, now is when the left does our version.
If that breaks the Democratic party in the process, that is their fault for building a house of cards indifferent to the suffering of people in the US.