Are the police around here lazy?

Today I was walking to O.C.C. in the lovely downtown area of Royal Oak and when I got to Sixth and Washington I waited at the light to cross. I happened to notice a police officer sitting at the light as well. As the light changed for traffic I was about to step into the street and noticed a car barreling down Washington with no intention of stopping. The lights had already changed and this car just drove through the red light like it was nothing. Right in front of a cop car. I thought for sure the cop would turn on the lights and siren and pull the guy over for either running a red light or going above the speed limit.
What happened next did shock me some. The cop just went about his business like he didn't see anything.
This has left me in disgust. While I understand the police cannot pull every single person over and ticket them, or solve every crime that lands in their lap, it does make me question my safety. Had I had small children with me who like to run across the road as soon as the walk light changes there would have been some major problems for sure.
Do the police only go after "easy tickets" or do they wait until after the bars get jumping to step up patrol and then hand out the tickets and make arrests for DUI?
I would like to think whatever the case may be the majority of the local police don't act like this and pay more attention to keeping the public safe. I can only hope it was a one time incident, but I have a feeling I will be sadly mistaken.
I can't wait to see what happens this spring and summer when people are bicycling on the sidewalks through the downtown area.