I have run into this issue a couple of times: Google wants to see all websites on SSL certs and having https:// urls. First off, it's not always easy to do. Second, you can spend a lot of money to implement an SSL. And third, it will undo your search ranking for a while with Google.
Here is an example:
I have a buddy that has a carpet cleaning company
in Reno NV. His SEO
company moved him to SSL in July. They did not do everything correctly and all the images show as not being secure on a secured site. Apparently, that is an issue and I am going to help him with that. But the bigger issue is the gradual drop in search engine ranking because of changes to the SSL and the errors. They were solidly at the top of Google prior to the change to https status. Now they've slipped and in some search phrases, they've dropped completely off the first page.
So, if you're going to change to SSL, make sure that all your code reflects the new URL. That includes all your references to pictures. Also, you need to immediately fix your backlinks or replace them with new ones. Backlinks with http:// hardcoded are not going to pass their 'link juice' to the new https:// version.
Not saying you shouldn't do it, but unless you're prepared for a lot of extra work, I would not think it would be a good idea.