All the posters commenting their df would've knocked his block off; it's blatantly obvious that op's Dad is neither physically able nor personality inclined to challenge him ......
The reason it's so clear is that this man feels free to act like this, and continue acting like a dominant, aggressive, male chimp/gorilla in the sitting room - after the extremely offensive, aggressive, obscene cursing and gesturing.
He thinks he runs this house, he thinks he's in charge, he thinks he's the boss, he thinks he'll get away with anything he chooses to do.
He was being challenged in getting his way (about the dog, but it could've been anything) and he's made sure he's shown that he is not to be challenged in anything; he's the boss, he's the king of this castle.
That is 100% corroborated by the demand that chief serf/minion apologise to him for dating to challenge him (even when it was reasonable to do so).
It's patently obvious that this individual knows there's noone in this household to challenge him physically etc or he wouldn't be acting like this.
Op, you need Lundy Bancrofts "Why does he do that" and Women's Aid, and a divorce. You need some individual counselling too. You are in an abusive relationship. Your kids are growing up in an abusive home.
There is no way this is isolated behaviour. It .at bot go to this extreme in regular everyday life, but it's clear he's abusive ongoing.