Cessationists apparently have the reputation of not believing in miracles after the apostolic age:
No issue has been more controversial among Protestants in the past 40 years than the charismatic gifts and the role of miracles in the post-apostolic age. The issue was controversial in previous eras of Protestant history, too, although theological lines were not usually drawn as hard and fast as they are between “cessationists” and “continuationists” today.
In the 1700s and 1800s, suspicion of claimed miracles was connected to anti-Catholicism. Protestant critics saw the Catholic tradition as riddled with fake claims of miracles. Ridiculing the fake miracle claims of Catholics (such as icons bleeding a liquid that turned out to be cherry juice) became a staple of Reformed polemics against the Catholic Church. So when seemingly miraculous events happened in Protestant churches, even sympathetic observers warned against the threat of bogus miracles.
Odd, but the cessationists I know all affirm the ongoing reality of miracles. How could you ever believe in people lost in sin becoming regenerate without resorting to the miraculous work of the Holy Spirit?
The real problem comes with the “gift” of speaking in tongues. Why do we need ongoing revelations from God if scripture is sufficient?
1. Although the light of nature, and the works of creation and providence do so far manifest the goodness, wisdom, and power of God, as to leave men unexcusable; yet are they not sufficient to give that knowledge of God, and of his will, which is necessary unto salvation. Therefore it pleased the Lord, at sundry times, and in divers manners, to reveal himself, and to declare that his will unto his church; and afterwards, for the better preserving and propagating of the truth, and for the more sure establishment and comfort of the church against the corruption of the flesh, and the malice of Satan and of the world, to commit the same wholly unto writing: which maketh the Holy Scripture to be most necessary; those former ways of God’s revealing his will unto his people being now ceased. (CofF 1.1 emphasis added)
6. The whole counsel of God concerning all things necessary for his own glory, man’s salvation, faith and life, is either expressly set down in Scripture, or by good and necessary consequence may be deduced from Scripture: unto which nothing at any time is to be added, whether by new revelations of the Spirit, or traditions of men. (CofF 1.6 emphasis added)
Continuationists who want to defend tongues are in the same predicament as Roman Catholics who defend the continuing infallible teaching of the magisterium and the authority of tradition. Does God’s word have all we need for salvation and godliness? Or do we need ongoing revelations for becoming right with God? If you make an infallible pope or a Spirit-filled Christian the arbiter of Christianity, you deny the sufficiency of Scripture.