Bill is backed by Democrats in both chambers
Senators also advance Nicole Berner's nomination
House voted to pass TikTok ban on Wednesday
NCOSE still has ties to extremists
Former congressman vying for GOP U.S. Rep. Nick LaLota's seat
President also spoke out against book bans
Libs of TikTok targeted William Way LGBT Community Center
Ruben Gallego running against Kari Lake for seat
Ky. Republican has been in chamber since 1985
Challenges come despite bipartisan interest in addressing the problem