Bitcoin was exactly that project. Satoshi's ideas are embodied nowhere else but in his/her/their creation which is Bitcoin. However, those same ideas and creation were so incredible that they themselves caused a very coveted BTC as a result.

I wish you luck. But this one is not a road less traveled. Toying with this exactly same idea in the not-so-distant past were shitcoins. Bitcoin Cash claimed to be the project carrying the original ideas of Satoshi. And then came Bitcoin SV. This is not to count other shitcoins which are not forks of the original. And all in a span of a decade.

Finally, it seems to me that the creation of an embodiment of Satoshi's ideas is not as hard as selling it to the public. The source is right there, tweaking here and there is a bit easy, but good luck telling the people yours is the real epitome of Satoshi's philosophy.