Yes. I'd put these together as, "People try to identify historical ties with ancestors through..."

Yes, "identify" can collocate with "historical ties" in this context. It means that people are trying to establish or recognize the historical connections or links between themselves and their ancestors through their houses. However, "historical ties with ancestors" might be a bit redundant since "historical ties" already implies a connection with the past. Instead, you could use "historical ties to their ancestors" or simply "ancestral ties" to convey the same idea more succinctly. So a possible alternative sentence could be: "One more attractive aspect is the desire to stand out from the crowd. People try to identify the ancestral ties through the house, connecting themselves with their family's past and history."

thanks a lot, Adam!