As long as I’ve been alive, the biggest deficit hawks (read: Republicans) are the biggest spenders when it’s their turn on power.
A space alien newly arrived on Earth and looking at just actions taken, GAO/CBO reports, and the actual historical data, would conclude that, at least since 1980, Democrats were the ones who cared (a lot) more about the budget deficit than Republicans. The notion that voting for Republicans is the best move for a voter whose major issue is the deficit, is just marketing.
Everything goes to the debt, the only way out is through cuts to entitlements or broadly raising taxes, both deeply unpopular.