Every day objects do not really bother with the Pauli exclusion principle. The amount of phase space available at room temperature is vast and there are staggering amounts of degrees of freedom.
What everyday objects obey is electromagnetism. The electric bond between things we think of as objects is much much much stronger than the force you can apply by normal means. So objects which come in contact are excluded from the same space not by Pauli principle but because the force to combine them is astronomical in human terms
I believe it was a Leonard Susskind lecture[1] where he said, if the electromagnetic force were unitary like gravity (not positive and negative) and therefore couldn't be balanced to near-0 in a single object, the force of attraction between two grains of sand at each end of the lecture hall (say, 15 meters) would be 3,000 tonnes. I'm probably butchering the numbers, but the electromagnetic force is wildly strong, and this thought experiment always stuck with me.
Another consequence is that, while black holes can have charge, we don't expect them to in nature—they'll very quickly suck up whatever it takes to balance them from surrounding space.[2]
What everyday objects obey is electromagnetism. The electric bond between things we think of as objects is much much much stronger than the force you can apply by normal means. So objects which come in contact are excluded from the same space not by Pauli principle but because the force to combine them is astronomical in human terms