Help Troubleshooting This Circuit
Looks like you are trying to make a crude ASK low bit rate receiver.
In general, you need precise slicer thresholds or a decide if you want adaptive AGC or peak Hold and compare. Your choice of inverter has a wide spec range on threshold.. ( It's not always V/2) Your second diode detector should be inverted or use a non-inverting buffer or linear gain feedback  so positive envelopes are detected. 

Overall its poor but can be made to work for one unit, but never all units. Its called worst case tolerance analysis and supply sensitivity analysis and your design is conceptually ok at only one supply level and never the same.  

The Xtal is used in series resonant mode where impedance is lowest for maximum gain. Was that intentional? what F.
Generally people use 38KHz carrier detect methods for remote control chips or use IRDA transceivers for higher bit rates for simple IR communciation with AGC.. . Mucho cheaper and reliable.