Leave baby in the care of MIL who wishes to stay in the car

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If she's winding down the car windows and the car is sheltered I don't see why not if it's just for less than an hour. The case of the baby in the car is with the windows closed for prolonged time and without adult supervision, unless you believe she's going to leave the baby alone and walk around by herself it's not the same.

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maybe you can try explain to her that it is not good to stay in the car even with the windows wind down, find a sheltered place for her to wait there

Next time offer her a drink at the coffeeshop and ask her to wait there while you go pray?