Yes, I've heard they can be invasive in the southwest. I gave out plants in cute pots as wedding favors, and my aunt from west Texas explained that she couldn't take one home because she liked her gardens
She's back in Virginia now and has many of them in pots inside where they behave fairly nicely.
We may well be past our last frost, but I have about a month to go before I'm comfortable putting anything tender out - this time of year is unpredictable around here. I think I'll refrain from watering in that time, and see how the plants look. I hadn't thought about blooming... would all six plants be heading that direction at once? I've never had a bloom in my 10 years of keeping Kalanchoes, but there's a first for everything.