You can watch youtube on your moto Q.

The content of this page is taken from the following site. Please check the original threads for more info. Although the instruction is for HTC Mogul, this actually works for mot Q.
http://www.sprintmogul.net/Forum/tabid/54/ptid/370/page/1/totrecs/64/threadid/344/forumtype/posts/Default.aspx

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New version is now uploaded, 1.2.
YouTube changed their style and now a new version had to be released to fix this.

YouTube has also started re-directing mobile browsers to the mobile verison of the website, if you would like to continue going to the regular website you need to go here:
http://www.youtube.com/?nomobile=1

Steps:
1. Attain TCPMP 0.72.RC1 for PocketPC
2. Install TCPMP into either Storage Card or Phone Memory
3. Download and Install the FlashVideoBundle.1.2.CAB (Install to the same location (Storage Card / Phone Memory))
4. Soft-Reset the Device.
5. Open PocketIE (PiePlus & MultiIE Also work) and go to one of the Following websites.