One thing I’d like to point out.
If a child indeed goes to Shul, and sees his father davening insincerely, shmoozing, laughing, he will pick up on it NO MATTER WHAT. No amount of bribes, rewards or punishments can undo the detrimental chinuch a parent exudes. At least when their children are around, fathers should put on a show of utmost respect for HaSHem’s House, utmost sincerity and concentration in the Tefillah.
That’s just my humble view.