Stopped at a stop sign, then received a ticket for not yielding?

It was about 12:30 AM, I was going from a one-way alley to a two-way road. the car in front of me turned right then I stopped, looked both ways, and turned right as well. about 800 ft. ahead the light turned red so I stopped next to the car in front of me. The light then turned green and as I began to turn left a police officer of a bike came darting towards my car. I thought it was just a pedestrian about to hit me and it scared me. Then he put his lights on. I was worried and had no idea what was happening. I knew I stopped at the stop sign so I thought that couldn't be why he pulled me over. The police officer never looked me in the eye, he mumbled i wasn't looking at the stop sign, asked for insurance, ID, if I had a ticket in the last year, etc. I was shaking I was so scared from the situation of him coming at me like that so I just waited for him to come back and explain. He asked me to sign the ticket and I said, "I'm sorry, but what happened?" He said you didnt't yield at that stop sign." I asked which one and he said "The one on the one-day road." I then said, "I'm sorry but I did." He had no response and asked me to sign the ticket. I just called and it's going to be $165. to get this straight, he made clear that I DID stop, but that I didn't "yield?" what defines yielding? I looked both ways, no cars came, I stopped completely, and then drove over 800 ft to his direction while at night time and he had no possible view if I yielded or not. Should I take it to court? It's also the 30th, which people have told me at the end of the month that police officers need to make a certain amount of tickets. The fact that this man was on a bike over 800 ft. away and nowhere near me just blows my mind. I feel this is incredibly unjustly and even though it's just a ticket I didn't deserve it. Court or no court?