The England coach insisted his players were guilty of nothing more than “red-blooded competition” after several clashes with the Australia skipper.
But Bayliss admitted that, if he had his way, he would like to see both a reduction in sledging on the field and the removal of stump mic.
“Personally, from my point of view, I’m not happy with it and that goes for both sides,” he said. “But it’s just the way the game is these days.
“I would like to see the microphones turned down as I don’t think that’s necessarily a [good] thing for young kids watching.”
England were furious after Smith, David Warner and Peter Handscomb got stuck into Jonny Bairstow in the middle in the first Test in Brisbane – conversations which were overheard on the stump mic and picked up in the media.
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And tensions which had simmered all week following that have boiled in Adelaide, with Smith dragged into confrontations with Stuart Broad and Jimmy Anderson on day one.
Then Broad was guilty on day two of giving Handscomb an in-your-face send off after getting his wicket in the first over of the day.
“I don’t think anyone has to listen to what is being said but it is grown men playing a very competitive sport and sometimes those emotions boil over,” said Bayliss.
“They are red-blooded young males competing against each other and most of the time it’s fairly light hearted. But sometimes there’s a lot more made of it in the media than what happens out in the field.”
While England’s mind games against Smith helped to dismiss the Australia captain for 40, Shaun Marsh proved a more painful thorn in English flanks with an unbeaten century.
It was an innings that gave him and his father Geoff the distinction of becoming the only father-son combination to post centuries in Ashes Tests after the older Marsh’s tons in 1986-87 and 1989.
Marsh admitted he was nervous approaching three figures but said: “I’m just extremely happy to get a hundred for my country and to get a hundred in the Ashes is pretty special.”
Marsh’s call up to the Ashes squad split opinion but he his half century in Brisbane and three figures here have cemented his position in the side.
“I was disappointed with my shot in Brisbane but I felt nice and comfortable up there and relaxed in the middle and it is good on a personal note to reach a hundred,” he added.