So here is the revised schematic as suggested. I will be bread boarding this and testing in the week to come. Any other suggestions will be appreciated as always. I have settled on using the LM324 as the OP amp or the LM358N.
Echoing what others have said:
There will be 5 mA flowing through R5. The only places it can go are though R6 or through R2+R1.
If 5 mA flows through R6 it will cause a voltage difference of 5 V across that resistor. I don't think that will help the circuit operate the way you wish.
If 5 mA flows through R2 alone it will cause a voltage difference of 165 V, let alone including R1 in the equation.
Your circuit is doomed by this problem alone.
But secondly, the inclusion of C1 may be good for the LM317, but it is bad for the LM324. Consider that the op amp is trying to move the output voltage as fast as possible in order to regulate the input error by feedback. Putting a capacitor on the output is like tying it down with a great big anchor. It would be like fixing a heavy weight to the racket arm of a tennis player to compensate for the vibrations of the racket hitting the ball. How many games do you think the tennis player would win if handicapped like that?