Republicans don't want small government, they want a fascist police state and a corrupt military industrial complex to oppress people around the world to steal their shit while funding profitable wars for their contractors.
I think the last 2 people who wanted small government and balanced budgets were like John McCain (dead) and John Kasich (retired, but endorsed Joe Biden in 2020) and they're no longer relevant.
Honestly, as a party, they need to go. I want an opposition party to the Democrats, but they're not it. Hell, America really needs ranked choice voting and more open primaries, and probably 4 major political parties.