As a contractor seeking to spend those tax dollars, you are effectively signing up to help execute on the US population's stated goals as a people, not achieve the best business result for a government agency. Until you understand this, government contracting is not for you.
As for disruptive start-ups, in my 15 years working on state and federal contracts, every single agency that has requested "innovation", "disruptive change", "modern technologies" in fact means "please do this 95% of the way we did it last time, but add some shiny magic so we can feel good about progress".
As with any customer, your goal should be to give the customer what they want, while educating them about what they need. At the end of the day, you need to make your customer happy, and for a federal agency that often means don't fail, don't get their name in the paper. Which generally comes from doing it in a predictable fashion with incremental change.