After the second assassination attempt against former President Donald J. Trump in two months, a fevered debate has broken out in Congress over whether the Secret Service needs more money.

Because the dispute is unfolding on Capitol Hill and comes little more than six weeks before a presidential election, the question has, perhaps predictably, become mired in politics. And given that there are only 11 days before Congress’s deadline for extending federal spending, it is threatening to complicate already contentious negotiations aimed at heading off a government shutdown on Oct. 1.

Republicans have sought to pin blame on Democrats and their anti-Trump statements for the actions of Ryan W. Routh, 58, who was arrested on Sunday after hiding in the bushes with an assault rifle at Mr. Trump’s golf club in West Palm Beach, Fla., in an apparent attempt to target the former president. They have accused the administration of providing better protection for President Biden than for Mr. Trump and plan to vote on Friday on a bill that would ensure that Mr. Trump is protected at the same level as the president — something the Secret Service says is already happening.

Democrats, who routinely note that Mr. Trump has long trafficked in the kind of bellicose language that can fuel political violence, have said they are all for beefing up protections for him and fixing what is broken with the Secret Service.

They have even offered to increase funding for the embattled agency, including potentially through a stopgap spending bill they are negotiating to avert a government shutdown. In doing so, Democrats are effectively daring Republicans — who are bent on slashing spending, not increasing it — to be the ones to object to paying for increased protection for Mr. Trump.

“If the Secret Service is in need of more resources, we are prepared to provide it for them, possibly in the upcoming funding agreement,” Senator Chuck Schumer, Democrat of New York and the majority leader, said on the floor this week.

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