Rebecca Miller’s “She Came to Me” dances and teeters, staggers and skips along the line separating the quirky from the indulgent.

It’s a high-minded, well-cast romantic comedy whose easy laughs come from two Oscar winners and Peter Dinklage, a film whose romance is best delivered by teens and whose quirks include three oddball settings — Civil War reenactments, tugboat work and opera.

Strange? Oh yes. Bold? Sometimes. “Well-cast?” The actors do almost all of the comic heavy lifting in scenes that set up as cute or hilarious but whose only payoff is in a deadpan reaction or the mere fact that this or that player was cast to play this or that part.

The actress turned director of “Personal Velocity” and “Maggie’s Plan” creates a primer for “on the nose” casting. It doesn’t take much of a stretch to imagine “Game of Thrones” breakout Dinklage as a brooding composer facing writer’s block, a tossled, romantic figure dashing and magnetic enough to attract great beauties Anne Hathaway and Marisa Tomei.

Hathaway as an always-put-together OCD “clean freak” psychotherapist? We buy in without thinking. Tomei as a vivacious, “romance” addicted tugboat skipper of a certain age? Of course!

Steven Laddem is an acclaimed opera composer who had a breakdown after his last magnum opus. That was five years ago. It’s a good thing he married his shrink (Hathaway). Because he’s “blocked” and late delivering his new commissioned work. “Doc” Patricia is always counseling him to “break the patterns” of his routine to stir his creative juices.

One dog walk past a Brooklyn waterfront bar later, he meets the very forward, quite working class Katrina Trento (Tomei), who grew up on her tug, inherited her tug from her dad and insists this stranger she’s taken a fancy to over drinks “see” her tug, and her cabin.

A few reluctant kisses and tugs later, they’re in a passionate embrace. He’s so rattled that he tumbles off the dock and into the water on his walk home. Inspiration strikes.

“Doc” is a helpful but chilly spouse, a tad too tidy for sex. She’s happiest when she’s cleaning, and even helps their new cleaning lady (Joanna Kulig) as she chatters through her mild mania. Because when she’s not cleaning, she’s not happy.

Magdalena’s Catholicism…intrigues her.

And unbeknownst to Doc and Steven, and Magdalena and her court reporter and self-righteous Civil War reenator partner Trey (Brian d’Arcy James), Doc’s son (Evan Ellison) from a previous relationship is 18, prepping for the best college of his choice, and deeply in love with Magdalena’s smart-cookie daughter (Harlow Jane).

Writer-director Miller is the daughter of playwright Arthur Miller, and there’s flash to the writing, the collision of personalities and situations, including the Big Coincidences that throw all these characters together.

Doc can’t come along with indecisive, panicked Steven on his dog walk because if she does “I’ll make all the decisions,” and where’s the therapeutic, pattern-breaking spontaneity in that?

Katrina isn’t a sex addict. “I’m addicted to romance,” but “I have been known to stalk” this or that guy. So, yeah.

Young Tereza gazes into the eyes of young beau Julian and says the words many an articulate teen has uttered — “I’m going to love you for the rest of my life.” As they’re both very smart and wise beyond their years, you can believe it, even if the more sage among us figure they’ll break up. But even we know that first love will always linger on the memory.

Miller and her players give us a couple of swooning moments like that, which are almost worth the cost of admission by themselves.

Amateur Civil War pedants bickering over the particulars of one tiny, inconsequential engagement, the tug boat operator listing most everything that you can see was at some point “moved by a tug,” the way Steven hears the musical note in Doc’s mini-vac, there’s a rich collection of details in all this.

But the casting is what makes an movie that never quite finds its tone (warm, weird and funny) work. Deadpan Dinklage duels deadpan co-stars for droll laughs in many a scene.

Miller went to the trouble of conceiving snippets of operas Steven is inspired to write by the tugboat skipper he won’t allow himself to call his “muse,” and she hired the composer of the music to Dinklage’s terrific take on “Cyrano,” Bryce Dessner, to whip up the score.

Miller then tops that by casting real opera singers Isabel Leonard, Emmet O’Hanlon, and Greer Grimsley to rehearse and sing Steven’s female tugboat skipper “Sweeney Todd” ripoff and another opera he tries to top that with.

Sure, “She Came to Me” is a tad less than the sum of all its many delightful parts. But Miller is canny enough to cast it perfectly and generous enough to let her players rescue this marvelous mixed-bag of delights whenever it goes astray.

Rating: R, sexual situations, profanity

Cast: Peter Dinklage, Anne Hathaway, Marisa Tomei, Harlow Jane,
Joanna Kulig, Evan Ellison and Brian d’Arcy James

Credits: Scripted and directed by Rebecca Miller. A Vertical release.

Running time: 1:42