Possible to add Global Siganture to end of Personal Sig.

Is it possible to dictate where the Global Signature is placed? Currently the Global Signature is placed at the bottom of all outgoing email. For new email originating from our domain, it is not a problem. However, when replying to an email, our the Global Signature is being place at the very end of the email, making it appear as if our global signature is part of the original sender's signature.

Changing the Reply Format option "Type my reply" to bottom instead of top would fix the issue, but would be a change that my users would not approve.

Is it possible to prevent the Global Signature from being added to replies and forwards? This is how I thought is was supposed to work.

Any suggestions?