Not sure that strict cons utionalists would claim the Cons ution is dead. They would argue that the founding fathers knew that while they needed to leave a basic set of rights and principles that would generally stand the test of time, they had just as little right to bind the next generation to their laws as England had to bind the colonists rights to English law. In arguing that the Cons ution lives they would point to Article V which clearly allows the Cons ution to be amended when 2/3 of Congress and the States feel that the Cons ution needs to be amended to meet the needs of today.
Scalia in particular would have no problem with a state passing some of the laws that you reference in your post because the Cons ution is silent on this; however, he would argue that if you want to broaden an amendment to say more than it actually says, just amend the cons ution and spell it out specifically. That is perfectly cons utional. That would be my guess on what Scalia and other strict cons utionalists would argue, if they are being true to what a strict cons utionalist believes.
FYI, the 13th, 14th and 15th amendments were not liberal positions and not were pushed by conservatives at the time they were passed but it was necessary that conservatives supported the amendments to get them to pass. Having said that, Civil War conservatism and liberalism were very different to the contemporary political definitions.