You mentioned "many hits on Google". When doing a search like this, I recommend switching the search from a Google web search (which will pick up hits on forums, blogs, tweets, and other sundry places where people mistype, misspeak, and misuse the language), to a Google book search (which limits the search to published works).
(You can accomplish this by selecting
Books under the
More... option, above the search results).
Here's what I found:
When I looked up "is of the view that" on Google books, I found well over 5 million hits.
When I changed that to "is of a view that" on Google books, I found five.
Even though the latter phrasing doesn't sound awkward to me, I don't usually buck convention when the results are that tilted in favor of one instance of an expression over another.
Incidentally, I also changed the search, and checked these expressions:
When worded that way, both expressions get about 5,000 hits each.
So, when wording it this way:
Mr. Jones is of the view that the project is unnecessary.
I would stick with using the, but if I were to change that to:
Mr. Jones has the view that the project is unnecessary.
then I'd be less leery of using has a view in place of has the view.