The amazing part is that Americans broken, non-universal, mostly-private but largely-public system spends more taxpayer money (per capita, for sure, but even as a share of GDP) than some countries that provide universal, mostly-to-entirely public, healthcare.
So it's not even saving your tax money to avoid universal coverage.
> Despite less than half of the USA’s total healthcare expenditure coming from government expenditure or compulsory insurance schemes, it still spends more per person on these financing schemes than the UK- £3,111 in the USA in 2014, compared with £2,210 in the UK. In the USA spending on privately-funded healthcare is over five times more per person than in the UK.
So it's not even saving your tax money to avoid universal coverage.