No.
As much as I detest Cinemark’s policy and absolutely agree that the creation of free murder zones is idiotic, it is the company’s right to do legal business as they see fit.
I sympathize with your intent, but such a protest is likely to be extremely counterproductive at this time. Let the Left do the job of hanging themselves by politicizing this.
If you don’t think liberal activists work these corporations to make such p.c. policies, you are nuts. The Brady bunch hit up all buinesses, backed by DNC and legal threats, to ban guns.
Conservatives need to push back. Few of their customers are liberals. We need to let them know. Don’t you remember when Clinton was pushing Smith and Wesson to obey his demands and they backed off when gun rights people kicked them in where the sun don’t shine.