The themes are designed as stand alone, and functionality cannot be integrated between them as you have described. Ultimately our themes are not encrypted, so you are of course free to make modifications to suit your needs. If ClassiPress offers the functionality you're looking for, but not the style, you could simply create a
child theme to make it look the way you want it to. You can see examples in the
ClassiPress customer showcase of customized versions of the theme which look different from the default. To clarify, ClassiPress does not have a bid feature as you have mentioned. Thanks.