Does one state consider another state’s law regarding a 30-day waiting period to remarry after a divorce is granted?

Generally speaking states give "full faith and credit" to the laws of other states. My opinion is that if the decree of dissolution entered that dissolves your marriage states that you must wait 30 days, then that provision would be enforced in another state. Some states have provisions in their laws providing what is called an interlocutory period, meaning that although the judge signed the decree of dissolution, the order does not become effective for the interlocutory period, which may be 30 days, or even as much as 6 months. If your decree is such an interlocutory decree then until that time has passed the dissolution is not final, and you cannot marry.

In most states a judgment is not final until 30 days after it is entered to give time for an appeal if one is going to be filed.

If a divorce is adjudged final in one state then it is final in all states. If you are waiting for it to become final then it is not final anywhere.

I do not understand your question. In Michigan there is no waiting period. Any restriction would be in the jurisdiction of your next marriage.