have you try to add a submitVar to formIt?
I have a similar problem here, a formit form in the general footer that in the blog with quip comments section interferes one with each other. It seems that using the same [[+email]] and [[+name]] for quip comments and formIt contact forms triggers the validation for both forms when one of them is sent.
I partially solved it by inserting submitVar in the FormIt tag, see last line:
[[!FormIt?
&hooks=`spam,email,FormItAutoResponder`
&emailTpl=`dm-email`
&emailSubject=`Mensaje desde dmigliorelli.com.ar`
&emailTo=`[email protected]`
&validate=`name:required:minLength=`2`,email:email:required,text:required`
&validationErrorMessage=`[[contactError]]`
&fiarTpl=`dm-autorespuesta`
&fiarSubject=`Thank You for contacting Me`
&fiarToField=`email`
&fiarFrom=`[email protected]`
&fiarFromName=`Daniel Migliorelli Design`
&successMessage=`<div id="formItMessage"><a class="closeMessage close">Close this message</a><p>Thank you for contacting me! please check your mail in a few minutes</p></div>`
&successMessagePlaceholder=`fi.successMessage`
&submitVar=`contactForm`
]]
then I`ve inserted a hidden input with name="conatctForm" in the formIt form.
Now formIt form works ok, but I still couldnt get quip to work. It seems to detects formIt name and email fields and try to validate them or something like that.
I don`t know if solves something for you