tzoorba, what exactly is bothering you?
a. That they have a 2500 year tradition, including a map of how they
ended up in India
b. That they underwent conversion al pi halacha and the presence of 50
shuls and two mikvas in their communities to indicate that the
conversions were sincere
c. That they’ve received smicha in Israel from the Chief Rabbi and
have been trained as Sofrei S’taam?
Even if they can’t prove their connection conclusively, any community that maintained
that tradition for so long and prevented assimilitation and sought conversion and aliyah should be welcomed with open arms.