That's what is unique about America. The Constitution supersedes all laws either federal or state. Whenever a conflict arises between what's written in The Constitution and a federal or state statute the former takes precedence. Moreover, changing The Constitution is notoriously difficult.
www.archives.gov
"The Constitution provides that an amendment may be proposed either by the Congress with a two-thirds majority vote in both the House of Representatives and the Senate or by a constitutional convention called for by two-thirds of the State legislatures. "
Given the current political climate in the US I would argue you have a better chance of winning the power ball lottery than getting two thirds of the House and Senate to agree on a Constitutional amendment. I mean you can't even get them to agree on how to disagree!