"To push the point" means to persistently or forcefully emphasize a specific idea or opinion, even if it is not well received or understood by others. Full definition
He or she will have an excellent sense of how to push a point without causing offence and will be able to navigate to the best available solution. (writerunboxed.com)
Check your driving record after you plead guilty or no contest to make sure the violation doesn't push your points over the limit. (dmv.org)
Now, Outside / In, a wonderfully balanced and expansive show at Life on Mars Gallery in Bushwick, pushes the point even further. (tilted-arc.com)