This verse is a contrast to verse 10. Let me give you that again.
(Proverbs 18:10 KJV) The name of the LORD is a strong tower: the righteous runneth into it, and is safe.The contrast is in the object of our trust. Notice that the righteous put their confidence in the name of the Lord. Here we have rich people staking their destiny on their “wealth” (1952). One is safe. One lives in their “conceit” (imagination NASB) (4906). I like both translations here.
Remember that the issue is not wealth but trust. Wealthy people can be godly and faithful. Poor people can be consumed with a lust for riches. We are to put our trust in the Lord.
So? Does the economy bring you to a point of panic but the current attack on the beliefs of the Catholic church make you say, “So what, I’m not a Catholic”? Maybe you are putting your faith in the wrong place.