can you help whats the problem?

ok so this is whats going on. i have a 1997 buick lesabre limited
edition. While i am driving my car stops on me. the oil level light
goes to zero the alteranator volt battery light comes on my power
steering goes out and my car slowly rolls until the momentum has
stopped. sometimes it would start back up immediately and sometimes it
would take up to an hour for it to start back up again. i have noticed
that it happens when the car heats up or if im driving during the day
in the heat of the desert. i have heard different things, someone told
me it was my starter or alternator (i took my alternator to get tested
and it did not fail), i replaced the fuel pump and the problem
persists. i went and bought some fule injector cleaner and it still
has the same problem but now after it stops it usually starts back up
after a couple of mins after maybe stalling if trying to start it back
right away. none of the mechanics i took it to knows whats going on
and i put money into the car and the problem still isnt' fixed. they
didnt know what it was after i took it to get a diagnostic because the
check engine light came on but that problem was due to an unplugged
vacuum hose but the car continues to stop anytime anywhere it doesn't
really matter how fast or slow i am going. but i think its the fuel
filter clogging.
please help :-(