Will Intronis and other backup programs conflict?

They can co-exist, however, there are some considerations to keep in mind.  If those other backup programs use Microsoft VSS, you will need to make sure the backup schedules for both programs do not coincide; if they both have Microsoft's VSS provider make shadow copies simultaneously, you may run into issues.  If other backup programs install their own VSS provider, this will side-step that issue, however, the presence of more than one VSS provider may confuse our software, but this can be worked around.  If both programs are doing Exchange information store backups or SQL backups of the same databases, configure the other program to work in “copy mode.”