ABS Problems

I have a question for you all:
If your car didnt have an ABS sensor at all, how do you think the car would drive? would your Anti-Lock light go on? would the caliper feel as if it was sticking or frozen?

My E28 (almost exactly an E24 sedan) is missing ABS sensors in the front for sure, i never looked at the rear.
Under braking, my front passenger side brake will stick and :lock! lock! lock! lock!: down on the rotor and its terribly frustrtating and somewhat scary. I replaced the caliper and noticed no difference.
The front driverside is also missing the sensor but that works fine. What gives? I can only think its the sensor.

The anti lock light only comes on if i take too long easing the clutch out in gear to be rolling, if that makes any sense, or dont accelerate fast enough