Hi rwfisheriv,
in general no.
But I add some Windows Icons to the Docks in the past.
All the time I start this Icons, the Guest (a Windows XP Professional Guest) startup, but this is normal manner.
Are you using shared Application?
Are you using default Applications?
Lutz
p.s.
Have a look to
VMware Fusion (menu bar) > Help > VMware Fusion Help > Using the VMware Fusion Interface > Setting VMware Fusion Preferences > Setting Default Applications Preferences
VMware Fusion (menu bar) > Help > VMware Fusion Help > Managing Virtual Machines > Sharing Files Between Virtual Machines and Your Mac > Enabling Shared Applications
for more information, ad check you VMware Preferences.