By world standards, Obama is definitely right of centre. For example he does not (yet?) publicly espouse a taxation funded national health service free at the point of delivery.

As for "corporate" lawyer, the normal use of that term is not to refer to an in-house lawyer but to a lawyer whose clients are mostly corporations and the subject of whose primary expertise is corporate (and financial markets and maybe tax) law. Is that not true of Obama?

As for the comparison with the Blair Trojan horse, there the issue is not that he is Scottish but that he went to Fettes.