interesting design, i for one was caught off guard that falstad could import spice :/ (missing only 1 wire link above u4)
though your missing a whole mash of parasitics, for a start all of your op amps have some capacitance between pins, throw a few picofarad between your input pins and it sings in the low MHz on the output,
u4 output to u5 input with q4 in the system sets up some rather horrid oscialltions on non ideal op amps,
u2 and u3 are ok, and look fairly stable, its primarily u4's output to worry about,