Here are a few options for a formal rewrite, depending on the desired emphasis:
Option 1 (Most direct):
“Joe Rogan Alleges Efforts by Former Presidents to Suppress His Podcast”
Option 2 (Focusing on the claim):
“Joe Rogan Claims Former U.S. Presidents Attempted to Have His Program Canceled”
Option 3 (Concise and journalistic):
“Joe Rogan Reports Alleged Attempts by Former Presidents to Silence His Podcast”
Recommendation: Option 2 is the most standard and professional choice for a formal article or news report.