IIRC - Clinton’s presidency did not go into “surplus” (whatever that word means in DC nowadays) until the Democrats lost control of Congress to the Republicans.
You have that backwards. It was under the Newt-led house that the budget became temporarily controllable and had a surplus (under some, but not all, definitions).
The Republicans kept grinding away at Clintoon until he signed their budgets with far less spending than what he wanted.
Check any chart that shows government spending and deficit levels and superimpose which party ran the congressional houses and you’ll see a correlation. Republicans aren’t great, but overall they tend to spend less.
The early Bush 43 years were an anomaly. Republicans had the white house, the senate and the house of reps and still overspent to reward their establishment buddies.