Taxes do not reduce inflation when government spends money they tax. Inflation dynamics can be described using Philip's curve:
$$\pi_t = \pi^*_t +\beta(y_t-y_n) + \epsilon_t$$
where $\pi_t$ is inflation $\pi^*$ inflation expectations, $y_t$ real output and $y_n$ natural output and $\epsilon_t$ is vector of shocks.
Now increasing taxes and funding infrastructure as you suggest, depending on macroeconomic parameters, could lead to increase in $y_t$ or keep it unchanged (since government spending is part of output), and because distortionary taxes such as VAT or income tax create deadweight loss they could actually lower potential output $y_n$ (depending on what they are spent on). Massive government spending could also potentially increase inflation expectations, even if it would not change them it would for sure not lower them.
Hence your proposal simply does not lower inflation.
In order to lower inflation through tax hikes, there would have to be only tax hike without government spending that money on public services. This would lower current $y_t$ and help reduce inflation. Moreover, it is well known rule in optimal taxation that distortions increase disproportionally with size of tax so this would not be solution if taxes get so high that they cause too large drop of $y_n$. US does not have that high taxes so they could increase them, but this extra tax could not be spent on any public services as you suggest but just locked on account not to be used.
Next, low interest rates both increase $\pi^*$ and $y_t$ so that would still be part of problem that would either have to be dealt with even higher increase in taxes.
Whether doing this is ‘beneficial’ depends on social welfare function that you use to analyze a problem. Under some arbitrary social welfare function anything you like can be beneficial.