I think you mean interpretatio Romana, as interpretatio Graeca was what the greeks did with egyptian and middle-eastern gods in their earlier history in particular. But if I understand what you mean, you're asking if the romans actively tried to integrate Christianity as a form of religious syncretism or explain the monotheistic God as some of roman gods, like what was done with Jupiter Dolichenus or Sol Invictus Elagabal.

And to my knowledge I would have to say no.

The issue with Yahweh is that it's a explicitly monotheistic religion same as with its Jewish origin (though some would argue early judaic traditions were more a sort of henotheism, where you worship but one god but not necessarily exclude that there are other gods) -- and the romans at the time of early christianity saw the christian worshipers as nothing but a sect of Judaism. Therefore it made no sense to integrate an already existing sect that was incompatible with the religious traditions of the Rome into their own and worse yet who refused to worship the Imperial Cult or acknowledge it. Suffice to say, the history of early christianity and Rome was fairly antagonistic.

There are some scholars who would say that late stoicism was influenced by Christianity though others would say it was the other way around.

Christians did indeed become influenced by roman culture and traditions, but it was rather on the administrative and political side of things - emulating much of the territorial reforms and spreading throughout the Roman empire by keeping a very orderly and maintained religious structure.

Geoffrey Nathan, ph.d, writes very succinctly: As Rome became more Christian, Christianity became more Roman.

So by the turn of the 4th century Christianity and their Yahweh was already fairly Roman to begin with. Hope that helps.

Sources:

Nathan, G. (2008). Remapping the Landscape: Early Christianity and the Graeco‐Roman World. A Review Article. Journal of Religious History, 32(3), 361-370.