I'm thinking that the heat you generate to remove CO2 from atmosphere would be greater than the CO2 you removed

Think of how an air conditioner works. In order to pump the air past the freon tubes to refrigerate the air it takes an electric motor at least to do this and that generates heat so you have to blow the heat out of the window. So, even an air conditioner likely blows more heat out of people's windows (portables like the one I'm presently near) just to air condition the air inside of the room I'm presently in.

So, here is my premise therefore: "I know of no way to get rid of CO2 presently that wouldn't put so much more heat onto the earth than the CO2 would cause in heating the earth."

What I'm saying is this is not a zero sum game because you are going to have more heat produced than the CO2 is going to bring to earth by trapping the heat from the sun.

However, it is also true that CO2 can cause heating and heating and heating day after day around the world. So, viewed from this point of view it isn't just the CO2 trapping heat that day but all the days into the future too. So, from this point of view even though the heat might be more than the CO2 would generate from the suns rays in one day it wouldn't be more than the CO2 in all days to come so therefore even if you generate some heat to remove the CO2 you likely are doing yourself a favor in the long run.

The problem I see with the above premise therefore is that if the heat is more than the CO2 produces in one day from the sun it is not greater than the heat from the sun in all days to come that that CO2 produces. Therefore, getting rid of CO2 maybe by injecting it into the ground like it is in the arctic might be a good idea. I don't think sending CO2 off into space is a good idea at all. But, maybe separating the carbon from the oxygen might be a good idea instead the way Hydrogen can be separated from water to make Oxygen and hydrogen through electrolysis.

I remember how direct current in science class in the 8th grade demonstrated this using a 12 volt battery  using direct current. off one wire came oxygen and off the other wire came hydrogen from the water.

However, I'm not sure how you would separate the carbon from the Oxygen at this point.