In a realistic world, you're going to end up with lots of differing opinions.
- Some people will welcome the androids with open arms, and things will continue as normal.
- Some people will argue that androids aren't real people, and discriminate against them.
- Some people will argue that androids might be people, but they shouldn't be allowed into certain positions, such as the clergy or public office.
What will actually happen is that people from groups 2 and 3 will likely dominate at first, and androids will be second-class citizens for a while. Depending on your story and the people involved, they will likely end up either totally enslaved or as equals to humanity after decades or centuries. A quick Google search on racial inequality should give you plenty of material on what kind of struggles these androids will face.
In this case, you're obviously going for equality. So your story is probably set after androids are legally entitled to the same civil liberties as humans. However, you're likely to still have a number of type 2 and 3 people who resist. Regardless of civil rights, the government won't likely force people to worship alongside androids, so there's a decent chance the major religions will fragment into a number of sub-religions, with differing views towards androids.
My guess is the type 3 people will eventually just get over the whole thing and the vast majority of people from the religion will allow androids as clergy. But you'll still have smaller offshoots with varying limitations on androids, as well as a dwindling, but ever present, number of type 2 groups.
It's also possible the religion just outright refuses to have anything to do with androids, in which case there isn't a good solution here. But "Christians" aren't just one group of exactly-the-same mind. So really you have to apply all of the above to each denomination of Christian, and you'll end up with groups who fall all over the place with regard to androids.
The largest group of Christians are Catholic (1.2 billion people), so if you're trying to tell the story within a single "religion", I'd start there. They all report to the Pope in Rome, so as long as Rome says androids are cool, most Catholics will accept them. However, it may take time before all Catholic churches accept androids in practice, and you may well end up with splinter factions.
There are 800 million protestants, but they're broken up into a lot of smaller sects with sometimes radically different views. For example, there are about 90 million Baptists, and 90 million Lutherans, each of which has further subdivisions, and each of which has pretty substantial differences from the other group. These groups are better choices if you're looking for a variety of stances on androids, but not so great for your purposes.