Christians as you put it, were killed off by Timur in that region. Hence, since then Europe has been the standard bearer, up until the early 20th Century.
Not really. In the region of Iraq through to western China, Christianity has not recovered and EUropean powers (bar Russia) has done nothing to spread the faith
In India, the spread of Christianity was largely due to the Portuguese and in the 1910s in NE INdia to American Baptist missionaries, but since the 40s the missionaries have been Indian