This is very hard to visualize; just trying to piece how this is working.
[Modem]-->[Computer NIC--Bridge-->(VMWare Virtual NIC)] = Both computer and VMWare get Public IPs. Since you are not allowed to have more than 1 Public IP, then they are supposed to share the same connection. Since you are bridged, somehow, the one IP cannot be shared. Now, if you are getting different Public IPs; your ISP does not know, keep you mouth zipped, you could start your own ISP.
Conclusion: You may have a defective modem (dummy hub-behaving like a dummy switch) which in a way is good for you.
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