The processing of visual motion signals is pivotal to accurate sensorimotor control: to successfully intercept an object in motion the brain needs to take into account the object's velocity together with neural and motor delays. Here we test the effect of a target's motion on perception, saccade, and pursuit responses, collecting all three measures together on each trial. Motion information may have different effects on these three processes (Simoncini et al., 2012; Spering et al., 2011). Our comparison across the three different systems make use of a moving target that contains a second motion signal unrelated to its displacement (the double-drift stimulus). We presented peripheral moving apertures filled with noise that either drifted orthogonally to the aperture's direction, dramatically affecting its perceived direction of motion (Tse and Hsieh, 2006; Lisi and Cavanagh, 2015; Shapiro et al., 2010), or that varied dynamically with no net motion. Participants were asked to saccade to and track these targets with their gaze as soon as they appeared (Rashbass, 1961) and then to report their direction. In the trials with internal motion, the target disappeared at saccade onset so that the first 100 ms or so of the post-saccadic pursuit response was driven uniquely by peripheral information gathered before saccade onset. This provided independent measures of perceptual, pursuit and saccadic responses to the double-drift stimulus on a trial-by-trial basis. There was nevertheless a strong dissociation between saccadic responses on one hand and and perceptual and pursuit responses on the other. We conclude that the dissociation between perception and saccadic eye movements in the localization of moving objects (Lisi and Cavanagh, 2015) does not involve different processing of motion signals but rather a difference in how motion signals are combined with target position.