Policy based on "reciprocity" is a bureaucratic nightmare.
There are 191 nations who are members of the UN.
It's simply a pain in the butt keeping tabs on each and every one, even if they organize themselves into a variety of different trade groups. That just shifts diputes into those groups for resolution and judgement in a manner that violates our nation's sovereignty.
It's much simpler and more efficient to dispense with such nonsense and retain our own, one-size-fits-all trade policy with respect to other nations.
"We are infinitely better off without treaties of commerce with any nation."
--Thomas Jefferson to James Madison, 1815.
Protectionist tariffs or tariff exemptions that target or favor the special interests of different countries or industries should be banned.
However, as our Founding Fathers preferred, a relatively low, flat-rate "revenue tariff" of 10~15% should be levied on ALL imported goods, regardless of nation of origin. Revenues derived from such a tariff could be used to offset reductions in other forms of domestic taxation.
No we simply implement the policy and when and if they come to our terms they gain free acess to our markets. they can engage in bilateral negotions with the soverign USA and deal with the results. This should lead to a straight revenue type tarriff you favor.