The Romans did this very thing. One of the reasons the Jews got special treatment (pre-Jewish war and exhile) from sacrificing to the Roman Gods was because their at-that-time monotheistic religion was considered ancient and the Romans respected ancient. A huge part of early Christianity involved the Christians trying to convince the Romans that they were the new Israel and therefore deserving of toleration despite refusing to honor the Roman and local Gods (instead of the Jews).

The moment the Christians had real power, they went from begging for tolerance, to crushing paganism and persecuting Jews (who had the gall to challenge the validity of their cooption of Judaism).