No. A track is different than a low level detection. Tracks are processed and require specially scheduled track pulses. If we tracked birds, we would not radar transmitter energy or processing power to do anything else.
If you and ESC keep the ancient processors in the Cheyenne Mountain Complex, you will not have enough processing power. But today processing power is cheap.
Birds and balloons fly at different speeds and at vastly different altitudes. Sorting them out would be easy for just about any with a background in radar. Too bad ESC seems to have kicked most of their engineers out and hired MITRE to perform that function.
I was told thousands of times in my four decades in the Air Force “That is impossible!” I looked around for the people who wondered if it was possible and put them on the task and kept the “That is impossible!” fools away from them. We completed a lot of “impossible” tasks over the years.