WisPolitics:

“Because both the “Limited Term” and “Non-Domiciled” identifications are issued pursuant to Chapter 343 of the Statutes, Wis. Stat. § 5.02(6m)(a)1. mandates that these identifications must be accepted as a proper form of voter identification. However, possessing a valid identification does not necessarily mean the holder of the identification is eligible to vote. 
 
“… if the potential voter presents a DMV identification marked “Limited Term” or “Non-Domiciled,” that indicates that the individual is most likely ineligible to vote because they are not a citizen and the election inspector should challenge that individual’s eligibility to vote, unless the person presents documentation demonstrating the person is now a citizen.” 

Read the full letter and draft memo here