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If you want my personal thought, which may not be correct, I think maybe in the next day it will ROT and stink. If it's a type of cheese, yeah, it will stink and rot. Another answer Cream cheese should not sit out at room temperature for more than 2 hours. Less time is better.
In pastry class we left it out overnight all the time - sometimes 18 hours before using. I can almost guarantee this would be how professional bakers would treat cream cheese (though can't speak from direct professional experience on that one). You just can't speed up softening cream cheese to room temp, it just doesn't react to heat/microwave well. Same for marscapone.