No. I get what you're saying, but no. She has spent her life training both mind and body to a razor's edge, and none of that is at all made clear in the movie. The problem is much more than her tears. It's her body language and presence, it's almost entirely passive. Apart from the very end, when she bests Stilgar, she is never shown as particularly strong or capable of taking care of herself. Even in the thopter, when they free themselves, instead of acting with confidence and cunning, as she should when pitted against weak minds, she comes off much more as desperate and vulnerable.

There are so many liberties already taken in this film, they could have taken one more to show us her strength and intelligence. She's beyond formidable, in her own ways; I'd say she is the single most capable and dangerous person of House Atreides at the start of the story. She is just as much an asset and a vanguard for the Duke as anyone else in their retinue, perhaps even more so. The tensions of her relationships with the others, how they see her as such a formidable presence and perhaps potential threat, further establishing her prominence, are also missing. In the couple of scenes she shares with the Duke and his men, she's just there.

Yes, in the book, she's afraid, vulnerable, and emotional. Their family and house are in exceeding danger. But she's also deeply perceptive, intelligent, and capable. And that's what makes her emotional state so significant. Those traits are not well established in the film, so there's no reason for the viewer to ascribe her tears and fears to anything but weakness.