Nevermind. :)
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We did something similar in the past. Changing the servers won't make any difference as long as the front-end part isn't changing. Google doesn't care if your site is running on one or multiple servers, or if two parts of the sites are running on different technology, as long as the user experience is not affected.
If you are changing your URL structure at the same time - there are some things you will have to check. There was a post on Moz a few years ago on site migrations that could help. Basically you will have to check that all your current url's are properly redirected to the new ones and that performance of the new site is ok.
Dirk