Could this be counter productive???

What do you mean by "primogeny?"

Sorry its primogeniture, specificly the western tradition enshrined in "christian" law where people are not equal, especially not women.

The melting pot certainly existed, and frankly mostly exists.

Did it really? So what does it say back in the beginning are the requirements for an immigrant to join the "melting pot"? Is it a case of hey America is founded on the basis that all men are created equal and anyone can come and be a naturalised american?

Equality is something defined by law

It is, and much of it is very recent from a historical perspective and really took a lot of fighting to achieve.
Which kinda puts a damper on your bit about western values and equality doesn't it as they really had to struggle to get them introduced.