Computer simulations of one- and two-color experiments in above threshold dissociation (ATD) are reported for the first heteronuclear alkali ion LiNa+. We focus on the 1(2)Sigma (+) --> 1(2)Pi --> 4, 5(2)Sigma (+) process, with dissociation to Li+ + Na(3p) or Li(3s) + Na+. The product yields are determined by the presence of an avoided crossing between the 4 and 5(2)Sigma (+) potential curves, according to the frequency and delay of the second laser pulse.