Anybody ever heard people say, These are God's people, and they do things like that? Is the name of God being profaned? Maybe.
Yes, when they one day repent.
If we had the time, I could show you many verses where God shows the rewards that are going to go to those who glorify His name. Remember that we do that (i.e., break the third commandment) not just with what comes out of our mouth - swear words. That is just one small part of it. God is interested in the whole landscape of our witness for Him - the conduct of our lives in every area, and even our attitudes. Do they live up to (are they holding up the reputation of) the name, which we now bear?