I certainly didn't mean to say that no-one agrees with it, but your personal agreement doesn't evince the general agreement that shadowgovt (an interesting username, in this context …) suggested. To be fair, neither does my skepticism provide any evidence against it.
In terms of public opinion, it would be interesting to know what studies have been done. I imagine if you would get broad support for an author copyrighting a book, and less on patenting a pre-existing genetic sequence.
As another unsubstantiated claim, I think if you sat down with the general public and the criteria for patents, they would mostly agree.
The challenge has to do with implementing them and the legal process around them.
If a crappy patent is issued to large corporation, it is incredibly expensive to challenge them.
I think IP is required to monitize valuable ideaS, and monitzation leads to social availability.
On the personal level, I would not like it if publishers could freely print the works of new authors, or engineering solutions I spend years on could be copy and pasted.
Some people prefer Creative Commons, and they are free to publish their work that way. Others need or want financial compensation.