AFAIK it doesn’t mean to be actively thinking about Hashem every waking and sleeping moment. It means not to be “mesiach daas” like tefillin. You’re concentrating on davening, or learning, or waiting for the mohel to show up, but in the periphery you know you’re wearing tefillin. It’s the same thing with all the 6 mitzvos temidios. In the periphery you know Hashem is the only God, but you’re still free to think about other things. That in itself is a high madrega that takes a lifetime of effort but nowhere near as impossible as the OP’s understanding.
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