That's really all there is to report for now. The deadline set is 3PM on Thursday. Jordan Sekulow calls this the "be all, end all, case." The case will come before the SCOTUS to be argued on the merits of clear constitutional issues, not procedural motions or petitions for preliminary relief--as has been the case up till now. There are reports that multiple states have joined with Texas' suit.
UPDATE 1: According to Fox, so far Arkansas, Missouri, and Louisiana have expressed support. Others may, but haven't been confirmed that I've seen.
UPDATE 2: Zerohedge has a blog on the importance of the Texas suit and repeats some of the things I was saying yesterday--it's succinct and very much to the major points: