With a such design, you'll get mirror signals. It means: Every received signal will appear on two places on your dial. Mixing products will be your local oscillator plus and minus IF (455 kHz). Frontal selectivity is not enough narrow to separate those two signals.
Much better results are...
P.S. Applying solution with an voltage stabilizer is not so good idea because of maximum input voltage, it is very close to this value, typicaly such stabilizers have 35V max. DC in.
Another reason is simple: 36 - 12 = 24 volts, and 2/3 of total used power would be dissipated into heat...
Much...
- plase measure A.C. voltage on two wires conducted to your full wave rect, bridge.
- there would be 24 V A.C., as first described BrianG in his answer, part 3)
There is lot of solutions. Take, for instance integrated stabilizer type 7812, don't forget add two capacitors cca. 1 microfarad to in...