Let me ask this:
You opened with the statement "But so far I haven't seen the advantages for SEO purposes..."
What are your expectations here? In terms of a SEO-friendly software, I find all have their ins and outs but from an SEO perspective, most perform about the same. It's a bit like saying "I want to drive a car from LA to NY. So what is the best car to drive?" The car is less important than the route and the driver.
Most CMS will do the basics well. You need SEO friendly URLs and that's the largest issue I've seen (and URLs are a minor thing in terms of SEO). Maybe a meta description too. You will be providing the rest of the SEO via content (i.e. H1 tags, etc) and most everything does that well.
Wordpress is not a CMS per se, it's really a blogging software that made a shift to reach a wider audience. I've seen some very impressive sites that use it... and don't use it all that well. Modx looks like a pure CMS.
If your site is already up, I would NOT change. Changing software typically means changing URLs and that means you're gonna take a short term hit (not to mention the fun with 301s). Unless you have some burning need, I always tell people to think twice about changing URLs.