Answer
Is this question asking how to leverage service partners to _build_ the integration partnerships? Or to have those services partners _facilitate/implement/properly set up_ integrations in the integration partnership?
On the first front, we got our start by someone at the SaaS company we were doing partnerships with asking if we wanted to build out another integration for them. In that case we were paid directly, but it also came up just as a pure "solution" for an end customer. So in that case, look for service partners who have technical chops and show good knowledge of proper workflow management. Then either contract them directly or offer to broker an introduction and explain the situation.
If they do a good job, list them as a preferred developer/integration vendor and voila!
Now, if you're asking how to get them in the game to help augment/amplify your integration partnerships...
That's where you've got to work with those integration partners to ask if they have a vendor/service partner program; then see if you can cross-pollinate/train. If there's something there, approach some of your services partners to see if they might be interested in cross-training and being listed as a specific software-related implementation partner, and pull them into an example deal (whatever the scenario was that prompted you to ask this question). You can/should also ask your services partners if they have expertise/use any of the tools you're interested in ("Do you have expertise in any of the following tools: [multi-select with all of your integration partnerships]", "If yes, do you want to be listed as an expert/implementer for that specific software as well?")
Lots of options to explore. Just my two cents!
