Isn’t the molad when the moon reappears? As opposed to when the moon is at 0%, i.e. the lunar conjunction. The molad is indeed on Tuesday (jerusalem time) because on Monday there is no visible moon.
I plan to daven a very quick mincha/maariv once totality starts, and then put on tefillin and daven shacharis after totality ends. I’m not telling you where I will be because if we have a minyan the davening will be too slow.