I'm not real sure, but I THINK you are saying you have volunteer wheat  in your new wheat crop..            Is that right?

What serious issues are considered likely with that scenario  ?
It may not look pretty, and may not be 100% desireable, but i find it hard to imagine what issue might arise that would be solved by replanting. 

But your issues are likely very different  to mine...or maybe actually surpisingly similar...