These firings will have no impact on your taxes. Instead of people having a job, the money will just get given to oligarchs and you’ll pay largely the same taxes but have moderately less government services. Socialism is needed to some degree for society to function. Capitalism alone is an awful system.
In reality, whether taxes fall or not likely depends on whether the savings are returned in the form of income tax cuts, or whether the savings are used to repay the massive debt that has accumulated from decades of deficits. Both outcomes are good in the long run.
False dichotomy. They will likely be used to continue tax cuts for the wealthiest (and corporations? I don't remember), which are set to expire. That is neither scenario that you envisioned.
Whom does income tax cuts help? Median US salary is 62k. That person pays ~12k in income taxes. Conservatives are going to ‘save’ that person 1k on their taxes or some other paltry sum and then cancel a bunch of services, fire a few hundred thousand workers, and raise tariffs to make the actual cost go up on everything that person buys.