Short-fused ALEC BALDWIN’s latest outburst has sparked yet another family war!

The “30 Rock” star’s teenage daughter Ire­land is standing by him after he was caught on tape hurl­ing an ugly gay slur, but a source says Ireland’s mom, Bald­win’s ex Kim Basing­er, is flat out furious.

“Kim is disgusted and told friends that Alec is behaving like an ass***e,” said an insider. “He just can’t keep his mouth shut or control his temper.”

Baldwin’s weekly MSNBC talk show “Up Late with Alec Baldwin” was yanked for two weeks after he allegedly insulted a photographer by using a profanity coupled with a derogatory term for a gay man. The explosion came after the Emmy winner endured the high-profile trial of obsessed actress Genevieve Sabourin, who was found guilty on Nov. 14 of stalking the celeb and his second wife, Hilaria, and sentenced to seven months in jail.

The actor, 55, denied using the insulting language, but later admitted on Twitter that he had uttered an anti-gay epithet.

“I apologize and will retire it from my vocabulary,” Baldwin said in the statement released by MSNBC.

“I did not intend to hurt or offend anyone with my choice of words, but clearly I have – and for that I am deeply sorry.”

But the “It’s Complicated” star took a drubbing for his tirade, with openly gay CNN host Anderson Cooper blasting: “Alec Bald­win shows his true colors yet again. How is he going to lie and excuse his anti-gay slurs this time?”

And The Dish blogger Andrew Sullivan fumed: “This raging, violent bigot cannot be defended any longer.”

Despite the thrashing, 18-year-old Ireland is defending her father. She first made headlines in 2007 during her parent’s bitter custody war when Baldwin called her a “rude, thoughtless little pig” in a voicemail mes­sage that went viral.

In a post on Twitter, the loyal teen said: “My dad is far from a homophobe or a racist. For someone who has battled with an­ger management issues, my dad has grown tremendously.” The forgiving cutie also blamed others for inflaming her dad, adding: “Tempers are like wildfires. Something or someone can easily fuel the fire.”

This isn’t the first time the aspiring  model has had to deal with her hot-headed dad putting his BIG foot in his mouth. In fact, as The ENQUIRER has reported, her Os­car-winning mom is also furious with Baldwin for revealing on na­tional TV that nearly three weeks after Hilaria gave birth to Alec’s daughter Carmen, Ireland had yet to meet the newborn.

“It’s weird, you know?” Baldwin told David Letterman on his late night talk show. “We’re going to hand her this three-week-old baby and say, ‘This is your sister.’”

The insider added: “Kim felt that Alec’s comment made Ireland ‘look like some absentee big sister who doesn’t have time for family.’”

Baldwin’s camp previously denied that Ireland was upset about the comment and said Baldwin had a “great” relationship with Ireland. “Kim’s ashamed that Ireland has to continue to grow up with her father acting so stupidly time and time again,” says the source.

“Considering all that Alec has put Ireland through, it’s amazing that she’s still so accepting of him. She’s standing firmly behind him.”