You know, increasingly I'm not so sure. I think that many of us have trouble separating Scripture from our preferred systematic theology and we forget that Scripture is inspired, but systematic theology is not. It is merely man's effort to put his intellectual arms around Scripture - not always successfully, but always 'confidently.'
What exactly would we lose if there were no systematic theology? We would surely still have the Gospel -- the Good News of salvation. I suppose the argument would be that without systematic theology there would be confusion among believers. Yet I would think I could make a pretty good case that we have ample confusion WITH systematic theology -- and possibly, just possibly some of it BECAUSE of systematic theology.
No, I'm not at all sure that all our writings, debates, etc in systematic theology have brought us closer to our Lord Jesus Christ.
One final argument against systematic theology. It God had thought it truly necessary, He could have inspired one of the biblical writers to write one. Instead, He evidently concluded that a quartet of gospels, a history and a bunch of letters would be better -- and quite sufficient. [That's the old 'If God had intended us to fly, He would have given us wings' argument.]
So, don't you agree that we could have gotten along without systematic theology?