I want to create a button to able to TP the person pressing the button and only that person with the mods having access too

Solution 1:

There are two main possibilities for you:

Don't distinguish them by OP/not OP, but instead /tag all moderators and use that in the selector in the command block.
Don't use command blocks at all. They are moderators, they don't need command blocks to execute commands (at least short ones). Or require something from them to activate the command block, like breaking bedrock.