We shall see. Bongino also has a column within 'Conservative Review' along with Levin and others. I'm hoping this will stick.
There was one called RightRead being operated by Joseph Curl, I think it was. Curl was a columnist for the Washington Times at the time. I went to check it out the other day. It's gone, redirecting to the Times Web site.
Honestly, I think big-name support and publicity may cause an initial boost, but that will taper off fast unless it proves that there's actually a desire for it.
The only "Drudge Report competitor" I can remember succeeding on a national scale was HuffPo, and that's because it wasn't actually a Drudge competitor at all. There've been a few that have done well regionally: Orbusmax did well for the Northwest until the owner died. The Dead Pelican is chugging along in Louisiana. Empire Report's doing really well in New York. Those filled niches.
In this age of social media, though, we have news fed and aggregated from so many directions. Drudge has a brand. Bongino does not. Not yet, anyway.