Statement of Justice Alito, with whom Justice Thomas joins: In my view, we do not have discretion to deny the filing of a bill of complaint in a case that falls within our original jurisdiction. See Arizona v. California, 589 U. S. ___ (Feb. 24, 2020) (Thomas, J., dissenting). I would therefore grant the motion to file the bill of complaint but would not grant other relief, and I express no view on any other issue.
That reads that they will allow the filing, if only because they have to, but won't expedite it and won't entertain any of the Amicae filings...
Not the same thing as tossing it, but rather that they don't want to deal with it even though it is within their remit.
The Electoral college votes on Monday, and they present to the House/Senate on January 6th at which point I expect that objections will be raised causing it to fall to a House vote to declare the election.
And that's assuming that Biden isn't charged with anything in the meantime... He isn't President Elect until January 6th at the earliest and is therefore not afforded the protections of the position...
As for the constitutional question remaining unresolved, where that may lead is anyones guess