The point is to show respect for the rule of law while at the same time calling attention to an injustice.
The notion that you can commit arson, theft, assault, vandalism, and so on with impunity as long as you self-proclaim you are doing it for a just cause is not what "civil disobedience" is about, IMHO.
Your reference to the founding of America only seems relevant if you think the current government is illegitimate and needs to be replaced forcefully and in its entirety (i.e. you are making a revolutionary argument). If someone wants to make that argument then I think they should be able to justify that drastic measure with a rationale that is a bit more coherent than protest slogans and be able to explain what they intend to put in place instead of the current government.
Yes they do, it's called civil disobedience, and many Americans from marginalized groups wouldn't have the rights they enjoy now without it. In fact, as people like to point out, America was born from it.