Fleeing police from mental commitment order?

Here's a question I've been wondering about the answer to for a long time. Quite some time back, my family members and me were at odds, and they said that they could get 3 signatures for me for a mental health commitment-apparently 3 signatures from immediate family members are enough to get you detained for a certain number of hours in my state. Here's my question-suppose that I would get wind of this thing with the 3 signatures going down and would flee from police before the order to detain me could be enacted and crossed a state line or two. Would this be the same thing as fleeing with a criminal warrant for you arrest, or would it be different? I mean, the police aren't pursuing you because you've committed some crime, you just don't want to end up in some bullshit institution and deal with a bunch of stupid shrinks who don't know what they're talking about anyhow. Would the mere act of fleeing this sort of thing be a crime in itself? Please give me some answers on this.