1 Peter 5:7 casting all your care upon Him, for He cares for you.
Philippians 4:6 Be anxious for nothing, but in everything by prayer and supplication, with thanksgiving, let your requests be made known to God; 7 and the peace of God, which surpasses all understanding, will guard your hearts and minds through Christ Jesus.
Not reading those as the same.
The quote is trite.
The verses are rich in meaning.
If these verses are the origin of the quote it is no wonder there is such a shipwreck being made of the church in America.