Thanks PJ Dirty Water!
I followed up on your leads and after previewing a mono copy of The Sidekicks LP on RCA (1966) I'd agree with you, the album title track, "Fifi The Flea" is indeed a pile of crap;
still I did find 4 strong tracks - "Not Now" (which oddly sounds weaker in mono, to my ears), "He's My Friend", "Ask Your Friend" and "Ollie Wong" (for it's incorrectness alone, a keeper!).
Both "Friend" tracks feature solid fuzz guitar breaks and of course "Not Now" is a highlight.
The Redcoats aren't bad either, and the Dionysus reissue you brought to our attention can be audio-sampled on amazon.
The Sidekicks were from Absecon and Wildwood, New Jersey and did their 1st audition in Atlantic City.
The link you provided had a detailed bio told by the band: epic... truly epic... thanks again!