At about 3.30am, the car arrived at the destination and Joseph alighted.
Mr Lee also alighted to check if there was vomit in his car and noticed traces on the seats and carpets.
Upset, Mr Lee removed the carpets and started to scold Joseph, triggering an argument over the next few minutes.
As Mr Lee returned to his car and reached for the backseat, Joseph grabbed the back of his neck, prompting the victim to shout for help.
Joseph then put Mr Lee in a chokehold. He stopped as a van arrived at the scene a while later, and walked away.
Two witnesses who alighted from the van chased Joseph, who started to run but tripped and fell, injuring his nose. Both witnesses and Joseph then returned to the car.
The altercation was captured by two PolCams near the scene.
Mr Lee felt pain in his neck due to the incident and called the police at about 3.40am.
The authorities arrived a short while later and arrested Joseph. His blood sample was found to contain 124 milligrams of ethanol in 100ml of blood.
Joseph has since offered S$500 (US$392) as compensation and a written apology to Mr Lee.
The prosecution sought five to six weeks’ jail. Deputy Public Prosecutor Nicole Tay said Joseph's reaction, although not entirely unprovoked, was disproportionate.
Ms Tay pointed out that Joseph had been convicted on one count of drink driving in 2016, among other charges.
District Judge Kamala Ponnampalam found that a jail term was warranted in this case and sentenced Joseph accordingly.