The only suggestion I can give you is something I’ve seen on these forums for other conflicts. First, report the conflict both here https://support.advancedcustomfields.com/new-ticket/ and with the other plugin.
The next step for a temporary solution it to dequeue one of the datepickers or othewise prevent it from loading. https://codex.wordpress.org/Function_Reference/wp_dequeue_script. If the datepicker in vc is using the same handle and it loads first then this is why it is loaded instead of ACF’s date picker.
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