I am not a fan of The Big Bang Theory by any means, but removing the laugh track on any show will make the jokes less funny due to the pacing for edits. They hold on shots longer to add in laughs... this makes for long uncomfortable silences when laughter is removed. And timing is very important in comedy.
If someone removes the laugh track, they should also remove the long silences to give it a better chance. I don't think it would help TBBT much for me, but comedy is subjective.