Probably not.
In the first place you're using this out of context.
Here is the whole sentence:
"When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation. "
A "a decent respect to the opinions of mankind" does not mean that we must structure our policies so as to meet with the approval of foreign governmants espercially when to do so would be detrimental to our own national interests.
The first duty of our federal government is to protect us Americans, not to cater to the whims and peeves of foreigners.