I first read about this earlier this morning when my vegan cousin posted a rant on facebook about animal testing and the fact that the artificially grown lambs were euthanized to study organ development, etc. Honestly, I think she would be more OK with the late-term abortion of a human fetus than with these lambs not being allowed to be born and go on to live free and happy lives.
As far as how religious people would view it, I expect it would be akin to in-vitro...Many still reject that as not being a natural conception (yet still want to protect every one of the extra embryos created), and I would imagine a lot would reject this as well, but others, especially those who had lost previous babies who were born before viability would manage to look beyond the ethical questions.
It is pretty fascinating technology which, if perfected, could give a lot of micro-preemies born with a lot of medical issues to go on to live fuller lives. The original post I saw was not a complete article, and this fills in a lot of my questions as well as raising a lot of others such as how this would impact abortion politics.