Hi,
1) Slow speed of the network - this is not an issue. This is a site for a major manufacturer with dedicated servers and a top notch IT department.
Answer: Speed of the network depends on the two factors one from the server side and other from the user side.As you indicated that server side speed is top notch then it means what might be lacking is the speed from the user side. As most of the missing clicks are from mobile around 44, it may be that these 44 users who had clicked didn't reached to the website and dropped in between.
2) Javascripts disabled or blocked by browser - I understand this is a problem with Google Analytics but doesn't seem to be a problem for Omniture. According to Omniture java script was disabled on many of the devices used by visitors but it did record this.
Answer: this is not a problem with Omniture(Sitecatalyst-Reporting and Analytics) so lets leave this one out.And as the numbers also show that most of the visitors can be tracked with or without javascript enabled.But at least we can now say that whoever reaches the landing page gets tracked by omniture(Sitecatalyst-Reporting and Analytics).
3) Technical difficulties resulting in user leaving - This is a fast, smooth running site. This isn't an issue.
Answer: Again it might be from the user side.Please check the size of the landing page as well as the speed and time it takes when browsing through mobile.
As for tracing these missing visitor might be very difficult as for sitecatalyst they didn't reached the landing page or not stayed till the javascripts tag/beacon is fired.
As for the possible workaround and identification, try the technology report and specifically mobile reports which will help you to identify the problem.
Also please note that its quite difficult to identify those who had not reached the sitecatalyst tracking but for 30-50% of the discrepancy its worth trying.
Let me know if that helps.