A dispute over a State Budget is appropriately a matter to be settled by the people of that State through a Democratic process, and the Federal administration has behaved entirely appropriately in staying out. there is however, a cloud on the horizon, for which the President and his crew should prepare.
As the People have asserted and exercized their rights to Speak, Assemble, and Petition on the Capitol Grounds and even in the building, rights protected in these particular venues under caselaw even more strongly by the State Constitution than the 1st Amendment to the US Constitution*, there's growing calls from the Governor's party to exercise force to shut us down.
Lacking support from local Law enforcement agencies (The Madison PDC and Dane county Sheriff.) the governor will find hiumself increasingly tempted to make use, as he'd threatened early on, of the National Guard.
This could be pre-empted by a Nationalization of the Wisconsin Guard, with the Presiudent taking direct control. In this eventuality, they should not be dispatched to Madison, but rather to barracks, primarily at the sprawling base at Fort Mccoy, leaving true peacekeeping to the local authorities who've handled it justv fine thus far. Simply neutralizing any military effort from the Governor should suffice.
*I won a couple cases vs Tommy Thompson in 1987 and 1993, establishing that since the written permit regulations allowed for denial by the Department of Administration purely on discretion, it was essentially void, and while one might chose to apply, and they might chose to grant, lack of a permit in no way curtails assembly and speech rights, you may without sanction act without one. ANYONE, in ANY Numbers, may assemble, and amplify on the grounds.