Party-affiliation is volatile and self-reported: these aren't the same 'Democrats' nor 'Republicans' as in 2006, both due to switched-voters, new-voters, and expired-voters.
In particular, I believe there are a significant number of respondents who either (1) aren't very politically aware, but do have high trust in "our leaders" (whatever party they may be), or (2) don't trust pollsters -- believing they could be "with the government" or other loyalist groups -- and thus answer as if the questions were a loyalty test.
Note that for both type (1) and type (2) respondents, they are especially likely to answer (a) "Yes, I'm the same party as the President in power"; and (b) "Yes, I approve of what the President's policing/border/drug/terrorism agents have been doing". The respondents have different reasons, but neither want to express dissension. And yet it's not really telling us what party "true believers" think, just situational switchers.
Of course, many party "true believers" can forgive "their guy" in office for the same things they'd raise a stink about from "the other guy". That's also a very common bias/behavior. But I suspect these other low-ideology, "kiss-up-to-whoever-is-in-office" respondents are another significant, 5-15% contributor to what looks like a "partisan swing" in polls like this.