IBM MQ recently announced an "IBM MQ Bridge for Salesforce". Leif Davidsen wrote a little about it in his recent blog post, Building higher – IBM MQ V9.0.2. You might want to look into that more.
I think you should expand further on your question about migrating data from PeopleSoft to Salesforce so that we can see how it is an MQ question. Or perhaps post it on another forum if it is not an MQ question.