nope that is not how it works. Turbo tax is correct
look at the report called 'qualified dividends and capital gains tax'. if you look through the math closely, you'll see that the dividends and capital gains are subtracted on lines 2 and 3 so that the rest of your income is calculated at the ordinary rate. Then Line 20 comes back and taxes the dividends and capital gains at the 15% rate.
My advise: "trust TT" - it is what everyone is paying for.