The Uruguay international, who on Tuesday accused the Reds of reneging on an agreement to allow him to leave, has been made to train on his own after manager Brendan Rodgers criticised his attitude in recent weeks.
Barnes said a common problem with modern-day footballers was that they often had an inflated opinion of themselves born out of fans' adoration.
On his last two public appearances - Steven Gerrard's testimonial on Saturday and an open training session on Monday - Suarez was cheered by fans.
That depth of feeling is unlikely to be repeated in the wake of recent developments.
"Why are you so surprised? This situation has been going on for years," said Barnes, just voted seventh - two places behind Suarez - in the club website's '100 players who shook the Kop' online poll.
"This is the future of modern football we have created. The media and especially the fans have empowered players too much to make them feel that a) they are better than their team-mates and b) they're better than their clubs.
"We've seen it at Arsenal where so many players have left because Arsenal cannot match their ambitions, and the fans are the ones who have created this superstar culture whereby you've separated the team and the superstars to feel more important than the club.
"What has empowered him (Suarez) and the likes of (Fernando) Torres is they feel the team is losing not because of them but because of their team-mates.
"Suarez is saying he needs to go because they've not qualified for the Champions League, but he was part of the team that failed to do that.
"He has to take responsibility for that. He's saying, 'I've done my job, I'm good enough, but the players I'm playing with aren't'.
"Our superstar players feel they are untouchable. We've gone too far and there's no way back."
Barnes offered advice to those fans who had so loudly cheered Suarez at Anfield in the last few days.
"Don't fall in love with players because they will leave given the right circumstances," he told talkSPORT.
"Support the club, support the group and then, if any player wants to step out of line, we won't support him.
"Maybe then they won't get over-inflated egos and behave the way they do."
Rodgers was angered by Suarez's comments suggesting he had gone back on his word last summer to allow the player to leave should they not make the Champions League.
Arsenal thought they had done enough to trigger his release with an offer of £40,000,001 but Liverpool rejected the bid as they argue the clause in the striker's contract relates to that being the figure at which they should start negotiating but not necessarily sell.
"There were no promises made - categorically none - and no promises broken," said Rodgers after the club's 4-1 friendly win over Valerenga in Norway last night.
"The club and his representatives had several conversations and he knew exactly where he was at.
"I will take strong, decisive action. There has been total disrespect of the club - this is a club that is historically one of the biggest in the world and has given him everything; absolutely everything.
"I don't believe there is a clause in his contract that says he can leave for any sort of price."
Asked whether there was any way back for the 26-year-old, Rodgers added: "We first of all need to assess where (the situation) is.
"Things have been said that are derogatory against the football club, his team-mates and the supporters.
"There's a few bridges to cross before that (playing for Liverpool) can happen again.
"It's about respect - that's the only thing we look for. This is one of the most iconic football clubs in the world. You can't disrespect it."
On the prospect of an apology, he said: "That's something I will ensure before anything happens in the future."