Your distance is off by quite a bit (should be ~1e11 m at closest approach). The actual force is closer to 10^16 N. Which is big, but 10^7 weaker than the eart

Your distance is off by quite a bit (should be ~1e11 m at closest approach). The actual force is closer to 10^16 N. Which is big, but 10^7 weaker than the earth-sun interaction. But the sun has to move the earth by a couple AU per year whereas Mars has had a couple billion years to move it by the same amount.