There are different workarounds, I personally do it with jQuery etc, but yes you can: so instead of  id="p_lt_ctl00_BizForm2_viewBiz_email_txtEmailInput" you get id="txtEmailInput" I suggest you clone existing bizform web part (\CMSWebParts\Bizforms\Bizform). The only change you need to make is in bizform.ascx 
<cms:BizForm ID="viewBiz" runat="server" IsLiveSite="true" />
change to 
<cms:BizForm ID="viewBiz" runat="server" IsLiveSite="true"  ClientIDMode="Static" />
But there is a limitation:
I don't know if this is fixed in 9 or 10, but in 8 the problem with this is: if you have 2 text boxes, lets say username and fullname they both get id="txtText" 
Normally they would been called  p_lt_ctl00_BizForm2_viewBiz_username_txtText  and p_lt_ctl00_BizForm2_viewBiz_fullname_txtText.  I guess if they reverse control type and control name we can fully use clientIDMode. 
P.S. Perhaps, we can open a ticket or suggest a new feature, but I am fine with jQuery solution.