I don't think one has anything to do with the other.
Unless I've been misinformed, the tax cuts they're pursuing are mostly an extension of the current tax rates. The only reason they can be called "tax cuts" is because current law has a lot (not all) of them set to expire after this year. The only additional cuts being pursued are the suspension of taxes on tips, overtime, and SS benefits.
If they dropped this tariff nonsense today, or if they don't, I doubt either of those developments would have the slightest impact on the fate of the TCJA extension.
No, I think the article that
@hoot1 linked yesterday makes more sense. Trump has long believed that the US is the whipping boy of the global economy and the way to address that is with protectionist trade policies. The fact that they've gauged the tariff amounts to trade deficits -- which is otherwise senseless -- lends credence to that view.