Speaker Kevin McCarthy (R-Calif.) on Tuesday formally rejected two Democrats — Reps. Adam Schiff (Calif.) and Eric Swalwell (Calif.) — from serving on the House Intelligence Committee, escalating the two-year tit-for-tat battle between the parties over who is qualified for certain positions on Capitol Hill. House Minority Leader Hakeem Jeffries (D-N.Y.) had written to McCarthy on Saturday asking that both Schiff and Swalwell be seated on the Intel panel, where membership assignments come solely at the discretion of the Speaker. But McCarthy said Schiff’s and Swalwell’s previous actions make them unfit to serve on a panel with jurisdiction over and...