Why would the colonists loyal to the British object to Thomas Paine's Common Sense?

Answer 1

It wasn't common sense to them, it was sedition. He advocated revolt.

Answer 2

Check these sites. Then post your answer and we'll be glad to critique it.

http://www.earlyamerica.com/earlyamerica/milestones/commonsense/

http://www.bartleby.com/133/