If you're talking about ISIS please just specifically call out ISIS, it's arguable whether they ever achieved statehood but their terror base approach (toward their citizens rather than global terrorism) seems like a pretty big outlier in the modern world so I don't know if their state would have been sustainable even if major powers hadn't stepped in to erase them from the face of the earth.
Even ideologically extreme countries like Iran, UAE and Saudi Arabia have placed a strong emphasis on historical preservation - there are always compromises and violations, but I think that's a pretty safe broad generalization.
The Taliban, who've achieved statehood at least twice, blew up the absolutely amazing Buddhas of Bamiyan during their earlier reign in 2001.
"The statues were destroyed in March 2001, after the Taliban government declared that they were idols. International and local opinion strongly condemned the destruction of the Buddhas."
Even ideologically extreme countries like Iran, UAE and Saudi Arabia have placed a strong emphasis on historical preservation - there are always compromises and violations, but I think that's a pretty safe broad generalization.