Microphone peak detector circuit no signal response
The LM1458 is an op amp, and is not designed to be used as a comparator. The Texas Instruments datasheet specifies a minimum voltage of 6V. The datasheet also says that, when powered from +/-15V, the output can only typically reach +/-14V. The device does not have a rail-to-rail output. In your application, it is doing all it can, but there is not enough supply voltage for it to function properly. Same for the amplifier stage. 

Also note that only the top half of the AC waveform generated by your microphone is getting through the op amp. Since there is no negative supply, the op-amp output saturates at its minimum output voltage for any negative input signal. That does not matter much for this type of circuit, but it is something to be aware of.

Some things to try are:


use an op amp that is rated to run from a +5V single supply
increase your supply voltage
use a comparator instead of an op-amp for the output