No, that isn't the logical conclusion at all.
The logical conclusion is that we need to cut the military in half expenditure wise (saving $340+ billion per year instantly, and cutting our budget deficit in half instantly, while still leaving a massive budget for the military). We need to close 9 out of 10 military bases around the world, perhaps more. End Homeland Security and the TSA. Strictly enforce privacy laws, including the 4th amendment, such that anybody in the government that violates them does hard prison time. Cut the espionage budget ($80+ billion) substantially, including all of the budget allocated to illegal domestic spying. Pass new restrictions on the ability of the executive branch to wage undeclared war (ie without congressional approval), both in the style of what we're doing now in Syria and the more traditional war in Iraq. We should also simplify the tax code, simultaneously wiping out a lot of tax fraud by ending 99% of all loopholes and deductions, and slashing the IRS in half, saving tens of billions per year in tax compliance costs.
We should also, obviously, end the failed war on drugs, and end the mass prison system. The policy of holding in prison millions of political prisoners should be immediately stopped, bringing the extremely violent 'war on drugs' assault on liberty by the government from 1980 until now, to an end. This war of power and greed, costs hundreds of billions of dollars per year in government expenditures, lost lives, lost productivity, prison costs, and the destroyed futures of those held captive as political prisoners (many to be enslaved for labor in corporate prisoners). Not to mention the tens of thousands of lives it ends around the world every year. We currently spend over $100 billion just to keep 2.2 million people in prison.
Your conclusion at the end presents a false choice. Simple black and white example: if you don't like violent gestapo politics, you might as well give up on all organized society (you can actually insert any government action, which proves your position to be filled with holes). The parent never said "no cent should be spent on something I don't like."