Deal with it, now.
It might get worse over time if you don't solve it. You can also get other injuries from this, by overexerting auxiliary muscles that "take over" from your bad shoulder in an...
I agree with RB13's overall assesement. Any of the top 6 in the 90's would beat almost everyone in the lineup after Coleman's retirement; to still be as dominant as Yates was is incredible. On the...
The two could definitely interfere with each other, and some exercises more than others.
If you were to do Olympic lifts only hours after a BB workout I would expect your form to suffer...
Focus on the compound lifts: deadlifts, squat, bench press, barbell rows, barbell press, etc. Get significantly stronger in those lifts in the 8-10 reps range, and you will see results.
Unless it's an injury that can be fixed (as opposed to normal wear and tear of 30 years of training), find alternatives that work for you, whatever they may be.