There's been some talk already about integrating non-hermetic magics into Hermetic Magic Theory. But I want to ponder now on the other way around. Imagine a sahir from the Order of Suleyman that wants to integrate some aspect of Hermetic Magic into Solomonic Magic (like spontaneous spells, for example). This is fully covered in The Craddle and the Crescent, specifically on pages 44-45.
But even though the integration rules from Ancient Magic work wonderfully for integrating Solomonic magic into Hermetic magic, there's a small problem when trying to use them the other way around: getting an Insight requires an Intelligence + Magic Theory roll, but there's no Magic Theory for Solomonic magic.
I've been thinking about it, but would like to know what would be your take on the subject before putting my own ideas forward, to avoid biasing replies.