So he is saying that most senators in the committee did not want it but the committee chairman - Tom Whatley - did a voice vote and approved it anyway?

The committees typically aren't big. Anyone on them saying "NO" to a vote could be easily heard. If the majority in a 7-person committee voted "NO" then unless the chairman is deaf, stupid or literally lied and certified (or whatever's done) a vote to get it to the Senate floor then there's some shady sh*t going on.

If what Chambliss is asserting is true then this bill being on the Senate floor is bogus.