Police say Garcia, who is wanted in Texas and Michigan, used the child as a shield after officers discovered his real identity.
Police tell The Bay City Times Garcia said, "I will kill this baby, I will break its neck."
The infant was not harmed.
Garcia is charged with unlawful imprisonment, retail theft, resisting and obstructing police and second-degree child abuse.
Jail officials did not immediately know if Garcia had a lawyer.
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