A few things that may interest you:
* The rate of transmission for a disease is estimated by its R0 or basic reproduction number. R0 estimates the number of new cases from the unaffected population that one infection will cause. A disease with R0 <1 will die out by itself. SARS has an estimated R0 of 3-5, while seasonal flus are between 1 and 2 [2]. So by this measure alone SARS is more "infectious" than the flu. Note that R0 is not a rate and is estimated from mathematical models [3].
* Seasonal flu predominantly kills the young, the elderly, and the immunocompromised. Interestingly, some strains, such as the Spanish Flu, have very different mortality curves that kill healthy middle aged adults far more than average [4]. I would expect a dramatically different public health response compared to normal seasonal flu if a future pandemic had a similar mortality curve.
* In the US, the "tip of the spear" for disease response would be the CDC's Division of Global Migration and Quarantine [5].
[1] https://www.cdc.gov/flu/about/burden/index.html [2] https://www.ncbi.nlm.nih.gov/pubmed/19545404 [3] https://web.stanford.edu/~jhj1/teachingdocs/Jones-on-R0.pdf [4] https://en.wikipedia.org/wiki/Spanish_flu#/media/File:W_curv... [5] https://www.cdc.gov/ncezid/dgmq/quarantine-fact-sheet.html