4 bad connections . . . . (all around the LM324)

Falstad is NOT a full SPICE simulator and if abused frequently provides misleading results.
Do yourself a favor and re-draw it without the crud in parallel on the left, in a serious SPICE package, preferably a popular one that's free (to use), e.g.
LTspice, then if it *still* doesn't make sense, attach the sim files (but *NOT* generated result files) here.
Hint: In LTspice, putting the following SPICE command on your schematic:
.model Dideal D(Ron=10n Roff=.1G Vfwd=0) ;Ideal diode
gives you an almost perfectly ideal behavioral diode model, that you can invoke by placing Diodes and editing their value to
Dideal so you can construct a bridge rectifier with three of the Dideal diodes and only ONE of the more complex read-world 'ideal' diode circuit you are trying to simulate.