Per Steve's schematic, I phased it so that Q1 and Q4 are both 'marked' leads and Q2 and Q3 are the unmarked leads. I made sure to keep track of which leads were on which side. The leads are extra long in this picture. However, the 'out of phase' picture looks a lot like the 'sharkfin' example. They still have ringing but are more square. Without the bridge powered up they look a lot better. I quadrupled checked everything I can think of, starting to consider just sticking with an H-bridge but I have to know what is happening. I worked 11 hours assembling and troubleshooting yesterday and about 10 hours troubleshooting today.
It was very unstable and something was clearly not running properly. I have also tested halfwave mains up to 120v and for a short time (depending on my hand placement) was getting 10in arcs. The arcs grow then get thin and light blue. The coil runs! At 30v I get a weak output but it also changes when I bring my hand near it. I scoped each FET and they all had the same looking signal for both Vgs and Vds.
Getting straight to it - from what I can tell my MOSFETs are not turning on or they are but for a very short time. Starting a new thread since this is a different issue and no longer a half bridge.