Wild Rose Infiltrator

I'm in a quandary. I have an infiltrator in my garden. It appears to be a wild red rose, which in and of itself isn't all that terrible, except that it is growing in the same space as my other rose bush, which I happen to love. 

Another of the very same infiltrator is popping up in my climbing rose, which is another one that I quite like.

I'm not sure what to do about this. It is a strange looking combination of roses. It wouldn't be all bad, except that I don't want the wild rose to choke out the other two rose bushes. I'm going to have to give this some thought...