I have to make 3 assumptions to even continue.

1) he probably already believes that all babies go to heaven, until you say otherwise
2) he probably holds Wesley high already and that wouldn't be a stretch for him, until you say otherwise
3) you are focusing on the doctrines of grace, until you say otherwise
I'd like to think that since Spurgeon is focusing on the doctrines of grace, those other issues wouldn't steal it's thunder. It is good that you can or should address those issues if they arise, but those won't go against the grain for him. I think it is safe to say that if I liked Spurgeon and was an arminian, those issues wouldn't even come to mind after reading or listening to it. If your friend grasps doctrines of grace and only has questions about all babies going to heaven and Wesley would've been an apostle, then consider yourself blessed. However, I'll let my assumptions stand until you say otherwise.
In response to the two points that make Bryan wary, which are stated, I was trying to imply that those are secondary in this context, and confirm that the doctrines of grace is the raming rod, so to speak.