The SIY appears normal (before qualifying as a physio I spent 8 years working in an xray department and have some experience of looking at these images). The overlapping joint lines are probably related to the way the x-ray was taken (the diverging x-rays do not pass through the SIY's in the supine position which the x-ray is taken, but get the opinion of a Radiologist with an interest in MS imaging).
You will alwayds find someone to tell you that yourSIJ's are 'out' 'subluxed' 'rotated' etc but from my clinical experience most problems resolve if you give people a reasoned, non threatening explanation and clear instruction/treatment to address the movement dyfunction. Get your riding position checked and find a recommended physiotherapist. I would personally avoid someone who wanted to rub your SIJ with ultrasound or manipulate it. Hallamshire Physio