Well the Syrup is not part of the cleansing ingredients. It is for nutritional support providing carbs and minerals so you can function in your daily life. You can also do Black Strap molasses but if you gag on the syrup god knows what you'll do with the molasses. If you want to remain active while cleansing the the syrup or the BSM are important. I don't see why you couldn't do them separate.
The link I sent you on the caps pretty much gives you the run down and it includes a coupla methods either with the caps and also doing a shot of the lemonade with the cayenne then chasing it down with the rest of the lemonade. You can also work your way up gradually with the cayenne. On my first MC I thought I would never be able to drink this hot drink for a full day at a time but I "sucked it up" and pressed on. Withing 3 days my palate adapted and I was fine and in a weeks time I even started adding more. Now I and many of the experienced MCers do at least 1/4 tsp of cayenne and not the regular grocery store weak junk but the 90,000 HU hot stuff. Cayenne is an essential ingredient in the lemonade.
You also didn't answer regarding if you were using fresh juice. I got caught out one time having forgoten the lemonade casue I left the house in a hurry and stopped and at Whole Foods and bought some of the organic Santa Cruz bottled juice just to make do till I got home that evening. The bottled stuff in nutritionally devoid on the live enzymes because it has to be pasturized by law. Most of the nutritional value is also lost. In addition after drinking fresh squezed lemon juice for a coupla weeks this bottled stuff tasted like battery acid.