Trade-offs create opportunity costs. The thing you don't choose when you make a trade-off is your opportunity cost
The Declaration of Independence did not spark any hostility because by the time Thomas Jefferson wrote it and it was sign in the fourth of July in 1776, all the colony's representatives were in agreement. However, the Continental Congress was very tense when independence came into question. When British troops attacked Concord, there was no choice but to decide what was next and after hostility occurred here, the congress voted to stay loyal but King George III said that their congress was illegal and all involved could be hanged so eventually the colonists agreed to be independent. So to simply answer your question, the colonists did face hostility while deciding if they should be independent or stay loyal to Britain, but the Declaration of Independence signed when the colonists were in agreement so there wasn't any hostility between them at that point.
They are known as an inselberg or monadnock (/məˈnædnɒk/) is an isolated rock hill, knob, ridge, or small mountain that rises abruptly from a gently sloping or virtually level surrounding plain.