Two different documents.
Again you are confusing varying types of rights. Those referred to in the Declaration are as stated. Constitutional rights are citizen based. To go deeper the Constitution actually is a document that LIMITS rights, but only the rights of Government. Something that has been totally ignored for several decades!

Quote Originally Posted by leo9 View Post
I am only an ignorant foreigner without understanding of your Constitution. I had been told that your Declaration of Independence held that "that all men are created equal, that they are endowed by their Creator with certain unalienable Rights..." Thank you for explaining that in fact only US citizens are held to have rights.