What is, in principle, problematic about having a trade imbalance? It is highly unlikely that any country will have truly balanced trade, so if some imbalance is acceptable, how much should a country aim for?
It's a drag on the economy. With a trade deficit around 3% of GDP this means 3% comes off economic growth. The reason is deficit money used to buy imports never returns to produce demand for goods or services, or for investment in production of goods or services, so is effectively removed from the the economy - which creates a drag. Basically, in the end, it's lopped off the economic growth. So while the U.S. might register about a 4% annual economic growth, without the deficit this would be 7%. This can lead to the problem that a country with a small economic growth gets pushed into depression from a trade deficit. It's dangerous to be
dependent on imports to this degree as it can lead to serious problems.
This has no correlation to the federal budget deficit - that's purely a fiscal problem. A trade deficit is a systematic
economic problem.
Fortunately, right now is a good time to start getting ahead of the problem - growth is good, interest rates are high, and the dollar is at historic levels. Tariffs, and their counter-tariffs, will cool the economy which can be met with lowered interest rates and a weakened dollar. More money stays in our economy, and the reduced interest rates makes it more available to meet increased domestic demand spurred by the tariffs.
As for the federal deficit, the first step is IMO to return to statutory neutrality, meaning the United States doesn't take sides or partake in military alliances. This eliminates the need to always be prepared for two simultaneous wars against a peer-level enemy, and hence the need for a permanent presence or the continued occupation of Europe and the ridiculous number of bases there and elsewhere. By restructuring our military to meet the simple needs of defending our territory against attack from over the seas would probably let us cut 80% of our defense budget. But this is more complicated and would require, among other things, pulling back our nuclear umbrella - which would lead to significant proliferation. On the flip side, why should we risk a nuclear war in place of someone else? That really makes no sense.