Due process applies to civil matters as well, be they local, state or federal.
For instance, in order for government to take your property via eminent domain the government must allow the property holder due process to question/challenge the taking and to argue the value of the property taken, etc.
And contrary what some would argue, the settled state of the law in the US has been for decades that everyone within the jurisdiction of the US is entitled to due process in both civil and criminal matters.
The only real question is what constitutes "due process" depending on a varying number of factors.
(puts tin foil hat on and learns voodoo)
