Will Republicans get enough votes from rational members of House minus Tea Baggers to raise Debt Ceiling?

They'll vote to raise it. The Chamber of Commerce, one of their biggest donors, is lobbying hard on the issue. They will likely negotiate as long as they can before the Chamber tells them, OK, enough. Then they'll take whatever deal is on the table at that time, like they did with the budget. The Democrats shouldn't make the same mistake of putting a deal on the table that's essentially everything the Republicans asked for initially (though not as much as the Tea Party wanted).