Nevermind, I ended up creating my own copy of the button and used the __doPostBack javascript method to call my other save button's click method.
For anyone that wishes to do the same thing:
Dim Image1 As New System.Web.UI.WebControls.Image
Image1.ID = "SaveEditorContent"
Image1.ToolTip = "Save"
Image1.ImageUrl = HttpContext.Current.Request.ApplicationPath + /CuteEditor_files/Themes/OfficeXP/save.gif"
Image1.CssClass = "button"
Image1.Attributes.Add("onclick", GetPostBackEventReference(btnSave))
Image1.Attributes.Add("type", "btn")
Editor1.RegisterCustomButton(Image1)
Then you just need to instantiate the real btnSave in your page somewhere and then you'll be able to fire its click method. I tried changing the Image1.ID to "btnSave" instead so that I wouldn't need to have another btnSave but when I did that, the editor just rejected my button and didn't display it.