This is simply not true. The conservative movement has utterly failed at keeping taxes and revenue low.
https://fred.stlouisfed.org/series/W006RC1A027NBEA
https://fred.stlouisfed.org/series/B245RC1Q027SBEA
https://fred.stlouisfed.org/series/S210400
https://fred.stlouisfed.org/series/W070RU1Q027NBEA
If budgets are constrained, it's because spending has simply risen faster than tax revenue.