Those images do appear to be somewhat cross-processed, but there's more to it than that. One hallmark of the effect is the golden cast on the lighting, which can be reproduced rather easily with adjustment layers. Try a sepia or warming photo filter layer at low opacity (say 20-40%) and play with the blending modes to find what looks best to you.
You can also try a magenta or red solid adjustment layer set to overlay at very low opacity (~10%) to give more of a sunset/sunrise appearance and bring warmth back into skin tones.
It just takes some experimentation.
There also seems to be a lot of vignetting (either manual or using the lens correction tool) and maybe some false "painting with light", which is basically having a black layer with low opacity and painting in (erasing) areas that you want brighter using a mask.
Street photography is a renewable resource. If you dont like what you see wait 5 minutes or walk a hundred feet.
I dont get permission, I dont interact with the people ive photographed, you only need permission or releases if ure going to sell the picture for commercial use. I cant imagine asking the people I photograph for releases..it would be quite awkward...
Remember, not everything is a picture. A good eye can edit before the shutter opens...