I'd try a directional constraint (1D) along the axis where each of your 'links' attach. Then you could check the resultants for each of those to see if they come close to what you expect. If they do then see what your structure is doing.
From what I see you are actually trying to model the rod ends on that suspension and, from what I know of solidworks, you can't explicitly specify bodies to transmit only axial load UNLESS you are using beam elemtns with hinges on the joints (truss elements). So a bit of remodeling would be required, however SolidWorks is fully capable of doing this kind of analysis.
Actually, I have done similar analysis myself from my team as a suspension crew member/director of the Formula SAE/Student team of my university. Im guessing you are trying to do a compliance study for either braking or cornering? That's perfectly possible with the right approach. I even performed kinematics & compliance to further refine our suspension beahviour and turn our suspension kinematics simulation to a [sort-of-a] dynamics simulation.
Let me know if you want further help in the issue.
I'm doing a study at max acceleration in a hard corner. Part of the problem is we don't really understand all of the load transfer in the solid rear axle (dead) so I don't know what's representative of real case.
I tried making a link connection at the links (to fix distance) and the model didn't yield but at this point I don't know if that's representative of real case or not. Thank you for your help