Jackson is certainly better than the other three I put him with, but there are aspects of his character that may be despicable that you seem to find endearing.
Someone who is for the Union come hell or high water is probably not for small government, and someone who thinks that Jackson should have hung Calhoun certainly is not.
Trump is very good for being from the east side of the Mississippi and the North side of the Mason-Dixon line, (or to put things less delicately, the wrong side of both) but his evaluation of character is not one of his greatest strengths. However, better he as president than you.
Jackson was for BOTH the Union and small government. 1913 was the devastating year for America with the creation of the monster fed. Jackson fought a National Bank, and he crushed it. And he warned against it coming back. He was for Hard Money. He believed in economy in Government. And he saw the National Debt as a great threat. He was the ONLY President to completely pay off the debt.