Without attempting to get into the politics of the US election:
1. The article states the US Federal Reserve will "gradually" cut rates. In other words, the previously expected tranche of consecutive rate cuts may not materialize. This doesn't necessarily "support" the dollar but it slows the weakening of the dollar that would occur if the Fed continued on their previously expected course of action.
2. When looking at what candidate Trump has proposed, it's not the spending side of the equation that's of "concern" to some, it's more the revenue side. He has proposed eliminating taxes on tips, overtime pay, and Social Security payments. That means less revenue, so even flat spending results in a greater deficit, if those things were to happen. He would also like to continue with the tax cuts he achieved during his Presidency, which are set to expire in 2025. That would also reduce incoming revenue. Add to that his tariff proposals (generally inflationary in economic theory) and we're back to higher interest rates for longer.
(Disclaimer: I am not voting for either candidate and this post is in no way intended to reflect a preference or dislike for either of the US presidential election candidates.)