You can look at this birth entry on
www.scotlandspeople.gov.uk (which is much cheaper than ordering the cert and also you can view it on line). There is only one male birth for a McKirdy in Anderston between 1881-2 (I checked 1882 as sometimes registrations for events at the end of the year can spill over to the January registers of the following year). This birth entry shows for 1881 in Anderston.
If what you have is all that is showing, then likely as you have been told, that is likely to be all that shows on the film unfortunately.
Still worries me that Alexander and wife Janet showed with no children between their marriage up to 1881...
Like we have discussed before, think there is a chance that Robert could actually be the illegitimate child of Christina Taylor whose birth details you have already found. Given that you have found Alexander, sister in law Christina and son Robert on the Irish censuses for 1901 and 1911, it further adds to this.
Following this guessing
it could well be that Robert gave Alexander's name for his marriage details in later years.
One thing though, you mentioned poor relief application details for father Alexander. When were these from and what did they say about a possible son?
Monica