Working...
It was made with early techniques, but modern knowlege. The part he did cost more than a modern warship--a BIG chunk of change indeed. The project ended in 1842, so in the 1870's, they have over 30 years more machining experience, which might--or might not--drive the cost down. According to Wikipedia, some machines based on it were built by Per Georg Schultz in 1859 and 1860.
My conclusion: the difference engine and analytical engine could be built--but the costs--OUCH!!! Modern warships are expensive--and the first full machine will cost more than a new ironclad. Tha Analytical Engine will come later, after some experience with the difference engine, if it is needed--but again, the cost.
Thus, there would have to be a drastic need for such machines to provide funding.
I think it's safe to assume that later ones would be less expensive.