Here is the first Google hit from the query "US Supreme Court cites Declaration of Independence" - https://lawecommons.luc.edu/cgi/viewcontent.cgi?article=1590&context=facpubs The DOI is not law but it provides context to the law. It's like if you read Title 9 which says no kid can be denied from school sports on account of sex, and figured the "on account of sex" includes convicted rapists.
If the right to life as stated in the Declaration of Independence was to be the primary focus then SCOTUS could not have Euless the opposite in Warren v DC and Castle Rock v Gonzales
Isn't that what you meant when you wrote "The constitution is a pitfall if interpreted outside the context of the Declaration of Independence"? That's a state that all decisions should be so based, yet it seems so few are.