It may very well be that most policy analysts are smart enough to recognize that the mere presence of "bearded, bomb-wielding fanatics who scream anti-American slogans" doesn't equate to American interests, but I don't think either that most policy analysts are die-hard realists! They have moral commitments beyond the strength of the state they got born into. And so it the West, or industrial capitalism, or the white race, but for most Americans there's a We that's under attack that transcends state borders, which is why pro-Israeli commentators use the language of civilization and barbarism by default. It's totally irrelevant to national interest that Hamas subscribes to a misogynistic ideology, but it seems to be pertinent to what Americans care about, or it wouldn't be mentioned so often. IIRC, other than Arabs, the only US demographic that claims to sympathize more with the Palestinians than Israelis are Blacks (and they're a pretty evangelical lot!)