Firstly, as a former Progressive Democrat, I would encourage you not to use your proposed name. We were called the PDs by everyone and the meaning in the name was lost. Similarly, you'll be called Triple PI and your noble nomenclature will be pointless.
As for your principles, clearly I reject them all as juvenile fantasy combined with unattainable communist goals and a previously failed 'tax em while ye got em' philosophy. Universal everything combined with forced income redistribution sounds good in a Ladybird version of the Communist Manifesto but in practice results in systems with the
user of the service thought of last and the service itself therefore being the minimum accepted standard. Look at our Health System. Forced income redistribution results in evasion, avoidance, black market and emigration with a consequent economic stagnation and reduced tax revenues. The people who pay most income tax simply will not wear your philosophy and while you think they have no choice but to give you their money, they do, and therefore your aspirations will fail as all communist states do.
As for your Tobin Tax! It seems your 'solutions' are to try to think of as many taxes as possible.
I don't think you need start a new party.
SF and Labour both espouse your ehm, economic philosophy. Just join them.