My guess is that they would not be able to do anything about it because, when you are on your way to vote or returning home, you are considered a "privileged person". I am not an attorney, though, so I really don't know but I suspect that this would apply to civil infractions, too.
REVISED JUDICATURE ACT OF 1961 (EXCERPT)
Act 236 of 1961
600.1825 Arrest; privileged persons.
Sec. 1825. (1) Every elector is privileged from arrest while going to, attending, and returning from elections in all cases except for treason, felony, or breach of the peace.
(2) Senators and representatives are privileged from arrest during sessions of the legislature and for 15
days next before the commencement and after the end of each session.
(3) All officers, warrant officers, and enlisted personnel who are in the actual service of this state or the
United States are privileged from arrest and imprisonment during the time of their actual service except for
treason, felony, or breach of the peace.
History: 1961, Act 236, Eff. Jan. 1, 1963.