Your circuit is operating correctly. That is the inherit nature of the mechanical parts.
If you wire up two contactors with a normally closed contact in series with each coil as wire in your starter in parallel
and apply power to them the fastest acting contactor will win the race.
It would be impossible or an accident to push the two push button that accurately in time to drop them both out with the normally closed contacts.
Both contactors should see enough voltage to try to pull in.But only one should win the race and
continue to stay in after the start buttons are released.
If its wire correctly and your normally closed contacts open as they should only one would stay engaged.
Ronald