Hello again, thanks for the clarification on the smoke route from the pit to the main vent stack.
Its a bit complex... i think I might have a better idea now however. Tell me if this seems accurate.
Your sinks are currently connected to both the main stack vent and the pit vent line by means of a tee in the vent line.
If that is correct you should be able to cut and cap the vent line from the sinks to the main stack as you have suggested...and the sinks should vent adequately via the vent line from the pit. ...IF... the line slopes continuously down from the sinks to the tee on the pit vent line.
You can try cutting the line from the sinks that runs to the main vent stack and fitting two pipe caps but without glue... then fill and drain the sinks. If everything works that way... then glue the caps on.
If that fails you can fit a compression type repair coupling in the line you cut to restore that function if you have to.
Let me know, we can go from there
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