A remodel was done in the kitchen, and now half the house is on the same two 60 amp breakers. When too many items get turned on, the lights flicker and sparks fly but the breaker do not kick off. I have never seen this done during 42 years in construction in homes. What is the solution?
If there is 14 gauge or 12 gauge wire coming out of those breakers, this is a serious hazard and a code violation. You need to have an electrician (a different one) remove those breakers, analyze the wiring and install appropriate breakers (and possibly new circuits).
Even if there is a heavier gauge wire at the breaker and the smaller circuit wires are attached downstream, no conventional household light or receptacle circuit should be on a breaker larger than 20 amps, and then only if all the wiring in the circuit is at least 12 gauge.
Ordinarily this means sub-panel. But with 42 years experience you know this isn't that.
This is a "pop the service panel cover off Right Now" situation. This is to get photos and sanity-check yourself that there isn't, in fact, huge 4 AWG wire coming out of that breaker to a new sub-panel. If you don't see that, shut it off and don't use it again until you can show it to the electrical inspector, because the guy who did that needs to be run down and asked about all the other work he's done.
If you can't wait that long to get it back in service, shut off your PCs then the main panel, and yank that breaker outta there, and replace with a 15A double breaker until this can be sorted out properly. Don't touch anything metal even if it's "off".