Everytime when you either hear a priest or a philosopher debate, you often found them quoting from the bible or their founder or beliefs. Why is that? Is that their hobby?
MAybe sometimes the politicians will quote from political father figures or constitutional or bill of rights.
It can help add credit to what they are saying, or sometimes what they want to say has already been said by someone else. Think of it if you where trying to express a idea but was having difficulty doing so but then you found X person had already elegantly expressed that idea wouldn’t it make sense to use that quote during your explanation?
It’s often used as an argument from authority. Politicians do it too. If Churchill (that Kurd gassin’, Gallipoli ruinin’, Black and Tan sendin’, miner oppressin’ A-hole) said it, it must be right, etc.