THEME:   three movies which take place on deserted islands   
GOOD ONES:     With 44-Down {theme}   DESERT (and) ISLAND   
Traffic controller   CONE [guess it's low tech]   
Smallish cells   AA'S [I thought 
bodily or 
monastic before 
batteries]      
BTW:   They raise dough   YEASTS [good if you're a street hood and use 
dough to mean 
money, but the rest of us raise 
capital or raise 
money]      
Words that may precede weeping?   READ EM[the phrase is "read em and weep" but there never is weeping]      
Has a date   GOES OUT [then the clue should be "Has dates"]      
IANA is an aletrnate for the usual suffix -ana.      
SLINGS as baby carriers is good, but I'd have preferred a Hamlet quotation to preserve our common ("Ay, Madam, 'tis common") literary culture.  Instead, we get NAS, REI, and ESO.        
RATING: 
 
   Three grins = Loved it; Two grins = Enjoyed it; One grin = A bit bland for my taste; One teardrop = Not much fun