All you have to do is hook up the module in a manner so it doesn't interfere with the sidemarkers. If you get it wrong, it will just mean the sidemarkers run full time together with the DRLs. The module has left and right "turn signal in" and "turn signal out" wires. On each side you cut the car's turn signal wire, then the "bulb" end of the cut wire connects to the module's "turn signal out" wire and the "car" end of the cut wire connects to the module's "turn signal in" wire. Just make sure you make that cut "below" the existing tap-in where the sidemarker wire connects to the turn signal wire. That is, as you follow the turn signal wire from the dashboard forward, you should first encounter the sidemarker tap-in, then the cut for the module install.
As far as the alternate-flashing sidemarker: it's legal in North America, but pretty much everywhere else all turn signals (front, side, rear) have to flash in sync with each other, alternate-flash isn't allowed. The idea behind this is a reasonable one: with alternate-flash, from certain angles the turn signal is harder or impossible to see if the sidemarker is close to the turn signal. I'm thinking of the GM Safari/Astro vans as one example. Also, even if that's not the case, on/off flashing means "turn signal". Wig-wag flashing (as the alternating lamps appear from some angles) means "??????". It doesn't matter at angles where you can see only the front turn signal or only the sidemarker, but where you can see both, it makes at least theoretical issues.