St. Clair, 31, filed a petition in New York on Friday asking for total custody of her son, who goes by R.S.C. in the court docs, and for Musk, 53, to take a paternity test.
As part of the exhibits for the paternity petition, the conservative firebrand shared a picture of Musk holding her son, who was born in September of last year.
Alleged text messages from after the child's birth were also added in the suit, which includes one from the day the boy was born.
St. Clair had sent Musk a picture of her clutching the newborn in the delivery room.
'All well?' Musk replied. To which, she responded 'He is perfect.' Musk replied: 'I look forward to seeing you and him this weekend.'
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In another, St. Clair sent him a selfie of her and a friend, to which Musk replied: 'Hi cutie.' She then texted him back, saying: 'Hi, see u soon.'
The Tesla boss and 'First Buddy' followed up with a shocking reply: 'I want to knock you up again'.
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Other messages show Musk talking about a credible death threat on his life, saying he was '#2 after Trump for assassination'.
He told her: 'Wake up. This is not the time for sentiment at the expense of safety. If I make a mistake on security [REDACTED] will never know his father.'
St. Clair responded saying: 'That's why the father spot on his birth certificate is blank right, E. Any he has my last name.'
Musk added: 'Necessary for now. Only the paranoid survive' before St. Clair responded saying that 'incredible discretion' had been used and would continue to be.
The Space X CEO then continued: 'The threat level will reach insane levels until the election is decided. Loose lips sink ships.'
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In another text exchange, St. Clair said she felt their relationship 'broke down' when Musk's fixer and right-hand man Jared Birchall allegedly 'got involved'.
She claimed: 'He said a lot of pretty horrible things to me that he attributed to you and I feel as though there was never a rift in our relationship before that.
'If you are in New York or if you'd like me to come to DC I really would appreciate being able to speak to you in person.
'I care about you deeply and feel as though third parties have put a major rift in our relationship that I truly wish was better for the sake of our son.'
Musk responded: 'Hmm ok', to which she replied with a GIF of Jim Carrey's character Ace Ventura saying his trademark phrase 'Alllrighty then'.
To that, he then added: 'Well, we do have a legion of kids to make'.
St. Clair claims in her filing that Musk has only met the boy three times and that she is the only parent to make decisions on the child's behalf.
The influencer also alleges that Musk was not present for the birth of their child and hasn't expressed any interest in having custody.
According to the court documents, St. Clair believes the child was conceived on the island of St. Bart's.
Requesting an order for genetic testing, she added: 'I am not currently married to Respondent or any other person.
'I did not have sexual intercourse with any other male during the time the child was conceived.
'I am requesting an order for genetic testing to determine the paternity of the child.'
For the full original read, visit The Daily Mail.