First & foremost, your coach needs to be aware of ANYTHING you're doing outside of your track work. He/she and you need to be in sync. That huge asterisk aside...
It's all going to be a balance and related to your schedule. Personally if you know what you'll be doing, acceleration work & lower body strength training should be scheduled with rest days in between to prevent negative carryover.
No, apologies for not being more clear. I meant that if the quality of your sprinting was being negatively affected, then it might be a good idea to reduce the overall weight or volume of your lifting work. This could come by way of reducing your training max, the overall volume of your workouts, etc.
BUT, if your sprinting is not being negatively affected then there is no reason to pull out volume or reduce your training max. That's what I meant by "mess with."
I'll refer this to the asterisk above. Your coach is the one watching you run and is able to see the big picture. The answer to this depends so much on what exactly the sprinting work entails, and your coach is going to see things you're not even seeing.
Having said that, were sprint speed my priority I'd want to be as fresh as possible for it.