This will have major impacts on the deficit. Reducing revenue does not help close the gap when they're not also significantly reducing spending. If we aren't going to raise taxes, then enforcement needs to be maintained. Tariffs do bring in revenue, but at a cost (with the selected tariffs) to industries which will reduce income for companies and individuals so net we're likely to see reduced total revenue, but a shift in where revenue comes from. The deficit will probably go up the next few years with the current scheme between reducing IRS enforcement, reducing economic activity, and insignificant spending cuts.
This leaves only a few "natural" cuts that will be very unpopular, but needed to come close to balancing the budget: Medicare, Medicaid, and Social Security. DOD cuts will reduce military readiness at a time when we'll either need it (Taiwan) or be abandoning our military dominance. But even cutting DOD spending by 100% wouldn't clear the deficit itself so other things have to be cut.
This year's DOD spending is $318 billion so far, and the deficit is $839 billion. Cutting DOD spending by 100% would still have left a $500 billion deficit.
DOGE Obliterating consumer protection agencies that cost next to nothing shows more about the intentions than any PR.