The Democrats can raise the debt limit with the tools available to them or they can default.
No Republican is going to enable the insane and mostly useless spending by a bunch of leftists.
Mitch has offered a short term continuing resolution that would allow Democrats until December to work out raising the debt limit via reconciliation. I'm afraid that is as far as Republicans are going to go.
Mazie Hirono has already rejected the offer outright so we are headed for shutdown and default around October 18th.
As I've said, I think the people who elected these clowns need to get it good and hard. A great Depression 2.0 would ensure that every household in the country feels the pain and begins to associate their votes with consequences.