I don't know why the concern that Lincoln project will and can take over the Democratic Party is not taken with seriousness. With the Republican party the way it is now, the neoconservatives have no way of rehabilitating the current vacuum of the modern GOP while they're all labeled "RINOS". Considering the Rehabilitation of the modern Republican Party isn't a real possibility, rehabilitating it through the Democratic Party is far easier.
Not only are they a popular group, they're very vocal, and Democrats seem keen on inviting them into their fold. Liberals have already forgiven Dubya and don't forget, the Iraq War was voted on through bipartisan support. There are so few things that separate Neocons from the Obama/Clintonian politics at this point. With the Democratic Party being such a big tent, and with establishment Dems already primarying progressive Dems and trying to take away their influence, they have even more reason to grow tied to Lincoln Project conservatives. The existence of progressives forces the center Democrats to naturally go towards the more conservative base, and let's not forget, Democrats are normally unwilling to vote on anything regardless of whether it's popular or not (see: two popular issues in M4A and weed legalization), thus showing their more conservative tendencies off the bat.
Currently the Trump administration is extreme right of right. It only makes sense the Democratic Party would appear to the left of that, which is really just the neo conservatism of ten years ago with gay marriage support.
Also, it took me forever to write that post because I am high as shit. So forgive me if it doesn't make any sense.