Some interpret it as being okay, others do not.
In order to be safe, I suggest not doing it.
As I mentioned elsewhere the fact is if you're not OCing you're not so likely to get searched, but remember we walk a fine line anyway, so I would suggest not doing it.
The lucky thing for you is that with how expensive it is to get a liquor license, there are plenty of restaurants and gas stations that don't have them, that would if this state was freer.
MCL 750.234d Possession of firearm on certain premises prohibited; applicability; violation as misdemeanor; penalty.
Sec. 234d.
(1) Except as provided in subsection (2), a person shall not possess a firearm on the premises of any of the following:
(a) A depository financial institution or a subsidiary or affiliate of a depository financial institution.
(b) A church or other house of religious worship.
(c) A court.
(d) A theatre.
(e) A sports arena.
(f) A day care center.
(g) A hospital.
(h) An establishment licensed under the Michigan liquor control act, Act No. 8 of the Public Acts of the Extra Session of 1933, being sections 436.1 to 436.58 of the Michigan Compiled Laws.
(2) This section does not apply to any of the following:
(a) A person who owns, or is employed by or contracted by, an entity described in subsection (1) if the possession of that firearm is to provide security services for that entity.
(b) A peace officer.
(c) A person licensed by this state or another state to carry a concealed weapon.
(d) A person who possesses a firearm on the premises of an entity described in subsection (1) if that possession is with the permission of the owner or an agent of the owner of that entity.
(3) A person who violates this section is guilty of a misdemeanor punishable by imprisonment for not more than 90 days or a fine of not more than $100.00, or both.