Bit of an aside but there cannot be a LP "I want" because the LP I would want would not be a LP anymore it would be a totally different beast, and 'm perfectly aware that my politics are not shared by many other people.
But the second part (that these are just different terms for 'not what I want') is nonsense isn't it. If socialism (or any other political ideology) is going to mean anything it has to mean subscribing, via ones actions, to a set of principles that distinguish socialism from other political ideologies. This is not some sort of insistence on ideological purity it's a simple acknowledgement that that there are different political ideologies, and that our actions are key to our place us within those political ideologies.
Lets take the example of Polly Toynbee, who declares herself a socialist, despite this she was at one time an active member of a party that was opposed to the LP, then she supported a LP that backed austerity and attacking workers and she recently actively worked against a move in the LP for move to the left and opposition to austerity. Now lets compare her against Tolly Poynbee, who was also a member of the SPD, who also worked to get Copper and Smith elected, who opposed Corbyn, who in short took exactly the same actions as Polly Toynbee but declares herself a liberal. Are we going to say the Polly is a socialist and Tolly a liberal simply because in their heart of hearts they consider themselves as such, nevermind that their actions are identical?
Do you remember Shevak, the Lib Dem who insisted that they were some type of anarchist? Are we to conclude that they were an anarchist because they felt agreement with anarchist ideals in some way (despite their actions being utterly inconsistent with such principles)? Is there as much validity in the argument that Blair was a socialist as that he was a neo-liberal? If someone is a member of the Conservatives or LibDems but only because they think this is the best way to support socialism are we to take them seriously. Such positions would be absurd.
If someone is going to argue and actively take measures to push the LP to the right, to take up positions that accord more with liberalism than socialism then it is not ideologically purity to point out that they are, to a greater or lesser extent, a liberal.
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With respect to the more important issue of engaging with comrades in the LP.
There are people in the LP I absolutely recognise and am proud to call comrades, I don't agree with the decision they've made politically, strategically or tactically but I can understand their viewpoint that the LP is the best way to advance class warfare while not agreeing with it. But that certainly does not apply to all in the LP, there are a fucking ton of shits in the LP that I don't consider my comrades.There's a lot of talk about Tory austerity but the LP signed up for attacking workers under the banner of austerity. Are attacks on workers less bad if the person doing them wears red rather than blue, bollocks they are. I don't consider my comrades those that are currently attacking library/museum workers in Bradford, I don't consider those that support scabbing comrades, I don't consider those that smeared the IWCA as comrades. I might understand their political decisions, I may even forgive them, but when it counted they put themselves on the wrong side of the line. They picked Labour over labour.