@yaantey
I did simulate your circuit using Circuit Wizard. The LM358 did clip at 3 to 4 V. I add some components ( extra voltage divider and capacitor ) <-- between op-amp one and two ( It look like the input ) and I change the op-amp with a LM339. I better improvement. Almost no clipping. You have to change the ratio of the voltage divider - bias. I add 1 uf, 62K and 47K.