I'm afraid that's not the intention nor the result if by rich you mean high-income.
The mean income to cross the line into the top 1% is somewhere around $500,000. The mean family income for everybody in the top 1% is nearer to $1,500,000.
Even if you're a married couple in the lower end of the 1% living in a no-tax state with say $400,000 of interest income and $400,000 of capital gains/qualified dividends, here's what the new law does for you (in addition to probably sparing you any estate tax exposure).
2017
Adjusted gross income: $800,000
Deductions: $50,000 comprised of $20,000 real estate tax plus $30,000 charity
Deductions you're allowed: 35,000 because in your bracket 15,000 are phased out
Personal exemptions 0 (your income is too high so yours are phased out, which maybe explains why starting in 2018 everybody else in the US is losing theirs too)
Taxable income 765,000
Tax on your interest income 120,000 (30%)
Tax on your qualified dividends 75,000 (19%)
Total tax 195,000 (25%)
2018
Adjusted gross income: $800,000
Deductions: $50,000 comprised of $20,000 real estate tax plus $30,000 charity
Deductions you're allowed: 40,000 because of the 10,000 cap on local tax (the phase out is repealed)
Personal exemptions 0 (repealed)
Taxable income 760,000
Tax on your interest income 82,000 (20% thanks to new lower brackets for ordinary income)
Tax on your qualified dividends 75,000 (the same 19% as before)
Total tax 157,000 (20%)
Hey, you just got $38,000 richer!!
https://www.ineomobility.com/wp-content/uploads/2017/12/2018-Tax-Updates-2018-Federal-Tax-Info.pdf