Adopt values of their new society-
Should acceptance of behavior of immigrants extend to honor killings, genital mutilation, insistance on conformity to values contrary to concepts of freedom of association and speech?

This does not mean the exclusion of cultural and religious values that do not conflict with our laws.
Approximately 20 percent of citizens in my city are members of "visible minorities" and have different practices relating to calendar events (year of the dragon, etc.), religious observances (Ramadan), etc. The mayor is Muslim, and Sikhs serve in the provincial legislature.

The exhortation of Emma Lazarus is obsolete or has been strongly modified, at least in Canada, where a new immigrant must show that he has the ability to support himself or invest or has a responsible sponsor, and obtains preference for certain skills (refugee applications excepted but these are limited). Quotas also exert strong bias.

Even the "illegals" nearly all come to work and make their contributions without inflicting odious restrictions on their families.