If he replies, "to show respect", ask your putatively "jewish" business partner if he shows as much respect to Judaism, by acknowledging the sovereignty of Israel over the entire land of Israel, as referred to thousand of times in the Torah as well as in our traditional 3x/day daily prayers for the last few thousand years...
There are plenty of pictures of Obama in a yarmulke I could post here, but do you see, just from the purely logical point of view, that your comparison is erroneous -- that following one group's religious practices when you're in their places of worship isn't the same as committing yourself to major policy changes?